Theory and Applications of Mathematical Science Vol. 3
Synopsis
This book covers all areas of mathematical science. The contributions by the authors include secondorder ( Φ,ρ)(pseudo/quasi)convexity; multiobjective programming; secondorder duality, duality theorem; common fixed point; generalized weak contraction; altering distance; invariant approximation; nonlinear oscillators; equivalent linearization method; weighted averaging; autoregressive models; distributed lag model; macroeconomic time series; multiresolution analysis; wavelet theory; Swallowtail model; polynomial regression; generalized Riesz systems; nonselfadjoint Hamiltonian; quasiHermitian quantum mechanics; biorthogonal sequences; limit distribution; generalized OrnsteinUhlenbeck processes; Ergodic theorem; Bivariate normal distribution; morgenstern type bivariate logistic distribution; morgenstern type bivariate exponential distribution; best linear unbiased estimation; coefficient variation; concomitants of order statistics; conformable fractional derivative; conformable fractional PDEs; closed form solution etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematical science.
Chapters

Chapter 1A study on Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators

Chapter 2An Approach of Secondorder Duality for Nondifferentiable Multiobjective Programming Involving ( Φ, ρ)Univexity

Chapter 3Generalized Riesz Systems and Ordered Structures of Their Constructing Operators

Chapter 4Multiscale Decomposition of Big Data Time Series for Analysis and Prediction of Macroeconomic Data: A Recent Approach

Chapter 5Ergodic Properties of generalized Ornstein  Uhlenbeck Processes

Chapter 6Recent Advancement on Analytical Solution for Linear and Nonlinear Systems of Partial Differential Equations Involving Time Conformable Fractional Derivatives

Chapter 7Estimation of Parameters of Certain Bivariate Distributions with Equal Coefficients of Variation by Concomitants of Order Statistics

Chapter 8A Study on Common Fixed Point and Invariant Approximation Theorems for Mappings Satisfying Generalized Contraction Principle

Chapter 9Quantitative Analysis of Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model: A recent perspectives