Mathematical Analysis and Computing: ICMAC 2019, Kalavakkam, India, December 23–24

Preface: International Conference on Mathematical Analysis and Computing
Contents
About the Editors
A Primality Test and a Theorem on Twin Primes
1 Introduction
2 Representation of Positive Integers
3 Definitions
4 Theorem on Primality Test and Twin Primes
References
Choosing the Best Copula Function in Mathematical Modeling
1 Introduction: Copulas and Archimedean Copulas
2 Copula Tail Dependence Measures
3 Copula Simulation
4 Empirical Study
4.1 Modeling and Simulation
4.2 Choosing Copula for the Prediction Modeling Using Mean Absolute Prediction Error (MAPE)
5 Concluding Remarks
References
On Generalized Kantorovich Sampling Type Series
1 Introduction
2 Final Remarks and Conclusion
References
The Fekete-Szegö Problem for Bazilevič Function
1 Preliminaries and Definitions
2 Proof of the Theorem
References
Study of Absolute Cesàro Summable Factor with Quasi-f-Power Increasing Sequences for an Infinite Series
1 Introduction
2 Known Results
3 Main Results
4 Proof of the Main Theorem
5 Corollaries
6 Conclusion
References
Sensitivity and Stability Analysis in the Transmission of Japanese Encephalitis with Logistic Growing Mosquito Population
1 Introduction
2 Model Analysis
3 Positive Invariance and Boundedness
4 Dynamical Behavior of the System
4.1 Equilibrium and Basic Reproduction Number
4.2 Stability Analysis Around Equilibrium Points
5 Numerical Illustrations
6 Sensitivity Analysis
7 Conclusions
References
A New Class of Incomplete Generalized Tri Lucas Polynomials
1 Introduction
2 Incomplete h(x)-B Tri Lucas Polynomials
References
Hyers Stability of Additive Functional Equation in Banach Space
1 Introduction
2 General Solution
3 Stability Results: A Classical Method
4 Stability Results: Fixed-Point Method
References
All Finite Topological Spaces are Weakly Reconstructible
1 Introduction
2 Finite Topological Spaces
3 Reconstructing a Topological Space with an Isolated Point
4 Reconstructing the Topological Space with No Isolated Point
References
Certain Properties of a Subclass of Uniformly Spirallike Functions
1 Introduction and Definitions
2 Inclusion Relations Involving the δ-Neighbourhood Nδ(e)
3 Some Properties of UCSPTc(α,β) and SPpTc(α,β)
4 Integral Means Inequalities
References
Analysis of a Dengue Model with Climate Factors
1 Introduction
2 Mathematical Formulation and Its Description
3 Positivity and Boundedness of the System
4 Disease-Free Equilibrium and Its Stability
4.1 Basic Reproduction Number
5 Endemic Equilibrium and Its Stability
5.1 Theorem
5.2 Theorem
6 Conclusion
References
A Theorem on Coupled Fixed Point and It's Application
1 Introduction
2 Preliminaries
3 Coupled Fixed Theorem
4 Application
References
Neutrosophic G*-Closed Sets and Its Applications
1 Preliminaries
2 Neutrosophic G* Closed Sets
3 Neutrosophic g*-Open Sets
4 Applications of Neutrosophic G*-Closed Sets
References
Serving Israeli Queue on Single Product Inventory System with Lead Time for Replenishment
1 Introduction
2 Model Description
3 Governing Equations
4 Performance Measures
4.1 Mean Stationary Rate of Events
4.2 First-Order Density of Replenishment
4.3 Mean Number of Groups in the System Depends on Inventory Level
4.4 System Throughput
4.5 Mean Number of Groups that Are Bi-passed by the Arriving Customer
5 Numerical Illustration
5.1 Observation of State Probabilities by Maintaining the Number of Items in the Inventory Are Less Than the Number of Groups Allowed in the System for Service
5.2 First-Order Product Density of Replenishment
5.3 Mean Number of Groups in the System Depends on Inventory Level
5.4 System Throughput Depends on Inventory Level
5.5 Mean Number of Groups that are Bypassed by the Arriving Customer
6 Conclusion
References
A Multi-criteria Decision-Making Framework Based on the Prospect Theory Under Bipolar Intuitionistic Fuzzy Soft Environment
1 Introduction
2 Score Function of BIFSS
3 MCDM Problem Based on Prospect Theory Under BIFSS
4 Procedure
5 Conclusion
References
Equitable Power Domination Number of Generalized Petersen Graph, Balanced Binary Tree, and Subdivision of Certain Graphs
1 Introduction
2 Main Results
2.1 Equitable Power Domination Number of the Generalized Petersen Graphs and Balanced Binary Tree
3 Equitable Power Domination Number of the Balanced Binary Tree
3.1 Equitable Power Domination Number of Subdivision of Certain Classes of Graphs
4 Applications
References
Numerical Solutions of Bivariate Nonlinear Integral Equations with Cardinal Splines
1 Introduction
2 Bivariate Box Spline
3 Interpolation by Bivariate Splines
4 Numerical Methods Solving Integral Equations
5 Numerical Examples
6 Conclusion
References
Bifurcation Analysis and Chaos Control for a Discrete Fractional-Order Prey–Predator System
1 Introduction
2 Mathematical Description of the Model
2.1 Discretization of (2)
3 Stability Results
3.1 Equilibrium Points of (3) and Their Existence
3.2 Stability Analysis
4 Bifurcation Theory
4.1 Periodic Doubling Bifurcation
4.2 Neimark–Sacker Bifurcation
5 Control Strategies
6 Numerical Examples
7 Conclusion
References
A Distinct Method for Solving Fuzzy Assignment Problems Using Generalized Quadrilateral Fuzzy Numbers
1 Introduction
2 Preliminaries
2.1 Fuzzy Set
2.2 Convex Fuzzy Set
2.3 Fuzzy Number
2.4 Trapezoidal Fuzzy Number
3 Generalized Quadrilateral Fuzzy Number (GQFN)
3.1 Arithmetic Operations on GQFN:
3.2 Ranking Function for GQFN
4 Fuzzy Assignment Problem
4.1 Fuzzy Assignment Problem in the Tabulated Form
4.2 The Mathematical Formulation of Fuzzy Assignment Problem
4.3 Computational Procedure
5 Numerical Illustration
6 Conclusion
References
Eigen Value Estimates for Fractional Sturm-Liouville Boundary Value Problem
1 Introduction
2 Preliminaries
3 Main Result
4 Applications
5 Conclusion
References
Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions
1 Introduction
2 Ball Convergence
3 Numerical Examples
References
Discrete Fractional Sumudu Transform by Inverse Fractional Difference Operator
1 Introduction
2 Discrete Fractional Calculus
3 The Discrete Sumudu Transform
4 Applications
5 Conclusion
References
Generalized Mittag-Leffler Factorial Function with Sums
1 Introduction
2 Basic Definitions and Related Theorems
3 Summation of EMLF Function
4 Discrete Maclaurin Series
5 Fractional Difference of Trigonometric Functions
6 Conclusion
References
Performance Analysis of an M/M/1 Queue with Single Working Vacation with Customer Impatience Subject to Catastrophe
1 Introduction
2 Model Description and Analysis
3 Steady-State Distribution
4 Steady-State Performance Measures
4.1 Expected Number of Customers in Busy State
4.2 Expected Number of Customers in Working Vacation State
4.3 Expected Number of Customers in the System
5 Numerical Illustration
6 Conclusion
References
Generalization of Permutation on Infinite Kolakoski Sequence with Finite Number of Strings
1 Introduction
2 Basic Definitions
3 Basis Vectors of R3 Over Standard Basis on Kolakoski Strings
4 Permutation on Kolakoski Strings
5 Conclusion
References
A Stabilized Numerical Algorithm for Singularly Perturbed Delay Differential Equations via Exponential Fitting
1 Introduction
2 The Continuous Problem
3 Exponentially Fitted Second-Order Central Difference Method
3.1 Calculation of the Fitting Parameter
4 Stability Consideration
5 Right-End Boundary Layer Problems
6 Numerical Results
7 Conclusions
References
Generalized Inverse of Special Infinite Matrix
1 Introduction
2 Basic Definitions and Preliminaries
3 Complexity of SIM and CSIM
4 Existence of Generalized Inverses for SIM and CSIM
5 Existence of Special Inverses
6 Conclusions
References
A New Approach for Non-linear Fractional Heat Transfer Model by Adomian Decomposition Method
1 Introduction
2 Basic Definitions and Notations
3 Adomian Decomposition Method
4 Modelling of the Physical Problems
4.1 Heat Transfer Model
4.2 Reaction-Diffusion Model
5 Existence and Uniqueness
6 Conclusion
References
Bifurcation and Chaos Control for Discrete Fractional-Order Prey–Predator Model with Square Root Interaction
1 Introduction
2 Predator–Prey Model with Square Root Interaction
3 Existence and Stability Analysis of Steady States
3.1 Extinction Steady State
3.2 Exclusion Steady State
3.3 Coexistence Steady State
4 Bifurcation Analysis
4.1 Periodic-Doubling Bifurcation of (3)
4.2 Neimark–Sacker Bifurcation of (3)
5 Chaos Control of the Proposed System (3)
6 Numerical Illustrations
7 Conclusion
References
Factorization of EP Operators in Krein Spaces
1 Introduction
2 Main Results
References
On the Spectral Parameters of Certain Cartesian Products of Graphs with P2
1 Introduction
2 Motivation
3 Preliminaries
4 Main Results
5 MATLAB Programs
6 Conclusion
References
Asymptotic Series of a General Symbol of Pseudo-Differential Operators Involving Linear Canonical Transform
1 Introduction
2 Asymptotic Series Expansion for Pseudo-Differential Operators
References
Under (ψ, α, β) Conditions Coupled Coincidence Points with Ordered Generalized Metric Spaces
1 Introduction
2 Preliminaries
3 Main Theorem
4 Application to Integral Equations
5 Results and Discussion
6 Conclusions
References
Dynamic Pricing of Products Based on Visual Quality and E-Commerce Factors
1 Introduction
2 Related Works
3 Proposed System
3.1 Data Collection
3.2 Data Preprocessing
3.3 Data Exploration
3.4 Feature Engineering
3.5 Modeling
4 Process Flow
5 Implementatıon
5.1 Results and Discussions
6 Conclusion and Future Work
References
Analysis of Audio-Based News Classification Using Machine Learning Techniques
1 Introduction
2 Literature Survey
3 Machine Learning Classifiers
4 Proposed Work
5 Metrics and Experimental Results
6 Conclusion and Future Work
References
On Generalized Vector Variational-Like Inequalities and Nonsmooth Multiobjective Programming Problems Using Limiting Subdifferential
1 Introduction
2 Definitions and Preliminaries
3 Relationship Between (GMVVLI), (GSVVLI), and (NMPP)
4 Relationship Between (WGMVVLI), (WGSVVLI), and (NMPP)
5 Existence Results for (GMVVLI) and (GSVVLI)
6 Conclusions
References
Weighted Average Approximation in Finite Volume Formulation for One-Dimensional Single Species Transport and the Stability Condition for Various Schemes
1 Introduction
2 Governing Equation
3 Derivation of the Numerical Scheme
4 Various Numerical Schemes
5 Stability Analysis
6 Truncation Error and Consistency
7 Results and Discussion
References
Total Variation Diminishing Finite Volume Scheme for Multi Dimensional Multi Species Transport with First Order Reaction Network
1 Introduction
2 Numerical Approximation
3 Stability Analysis
4 Truncation Error and Consistency
5 Numerical Simulation for Three-Dimensional Test Problems
5.1 Three-Dimensional Multi-Directional Sequential Reactions
5.2 Three Dimensional Multi-directional Serial–Parallel Reactions
6 Summary and Conclusion
References
Existence of Fixed Point Results in C*-algebra-valued Triple Controlled Metric Type Spaces
1 Introduction
2 Preliminaries
3 Main Results
4 Conclusion
References
On Fixed Points in the Setting of C*-Algebra-Valued Controlled Fc-Metric Type Spaces
1 Introduction
2 Preliminaries
3 Main Results
4 Conclusion
References
Detection of Bruises and Flaws in Fruits Using Thermal Imaging
1 Introduction
2 Bruise Detection System
2.1 Image Acquisition
2.2 Fruit Detection
2.3 Detection of Bruised Regions
2.4 Spreadness Measurement of Bruised Regions
3 Experimental Results and Discussions
4 Conclusions and Future Work
References
Heuristics for the Construction of Counterexamples to the Agrawal Conjecture
1 Introduction
2 Heuristics for Construction of Counterexamples
3 Conclusion
References
Constrained Fractal Trigonometric Approximation: A Sequential Approach
1 Introduction
1.1 IFS and Attractor
2 Construction of Bernstein α-Fractal Functions with Variable Scalings
2.1 Examples
3 Non-smooth Bernstein α-Fractal Functions
3.1 Explicit Representation of fnα
3.2 Non-differentiability of fnα
4 Bernstein α-Fractal Trigonometric Approximation
References
Max-Product Type Exponential Neural Network Operators
1 Introduction
2 Preliminaries
3 Main Results
3.1 Quantitative Estimate
4 Max-Product Type Quasi-interpolation Operators
5 Examples of Sigmoidal Function
6 Final Remarks and Conclusion
References
Local Weighted Average Sampling Over Multiply Generated Spline Spaces of Polynomial Growth
1 Introduction and Preliminaries
2 Average Sampling Theorem for Multiply Generated Spline Space
3 Behaviour of Gh(z)
References
An Insight into the Frames in Hilbert C*-modules
1 Introduction
2 Frames in Hilbert C*-modules
3 K-frames in Hilbert C*-modules
4 Controlled Frames in Hilbert C*-modules
5 Controlled K-frames in Hilbert C*-modules
6 Weaving Frames in Hilbert C*-modules
7 Weaving K-frames in Hilbert C*-modules
8 Fusion Frames in Hilbert C*-modules
References
A Class of Variational-Like Inequalities in Banach Spaces
1 Introduction
2 Preliminaries
3 Variational-Like Inequalities with Generalized Relaxed η- α Quasimonotone Mappings
4 Variational-Like Inequalities with Generalized Relaxed η- α Properly Quasimonotone Mappings
5 Conclusion
References
An Alternative Approach to Convolutions of Harmonic Mappings
1 Introduction
2 Convolution of Harmonic Univalent Functions
References
A Survey on the Theory of Integral and Related Operators in Geometric Function Theory
1 Introduction
2 Alexander-Type Integral Operators
3 Bernardi-Type Integral Operators
4 Miller-Mocanu-Reade-Type Integral Operators
5 Type-2 Integral Operators
6 Convolution Operators as Integral Operators
7 Fournier-Ruscheweyh Integral Operator
8 Integral Operators in GFT Associated with Quantum Calculus
9 Concluding Remarks
References
Integral Operators on a Class of Analytic Functions
1 Introduction
2 The Class SD(α)
References