Theory and Applications of Mathematical Science Vol. 3
Synopsis
This book covers all areas of mathematical science. The contributions by the authors include second-order ( Φ,ρ)-(pseudo/quasi)-convexity; multiobjective programming; second-order 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; non-self-adjoint Hamiltonian; quasi-Hermitian quantum mechanics; biorthogonal sequences; limit distribution; generalized Ornstein-Uhlenbeck 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
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Chapter 1A study on Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Non-linear Oscillators
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Chapter 2An Approach of Second-order Duality for Nondifferentiable Multiobjective Programming Involving ( Φ, ρ)-Univexity
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Chapter 3Generalized Riesz Systems and Ordered Structures of Their Constructing Operators
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Chapter 4Multiscale Decomposition of Big Data Time Series for Analysis and Prediction of Macroeconomic Data: A Recent Approach
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Chapter 5Ergodic Properties of generalized Ornstein - Uhlenbeck Processes
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Chapter 6Recent Advancement on Analytical Solution for Linear and Nonlinear Systems of Partial Differential Equations Involving Time Conformable Fractional Derivatives
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Chapter 7Estimation of Parameters of Certain Bivariate Distributions with Equal Coefficients of Variation by Concomitants of Order Statistics
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Chapter 8A Study on Common Fixed Point and Invariant Approximation Theorems for Mappings Satisfying Generalized Contraction Principle
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Chapter 9Quantitative Analysis of Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model: A recent perspectives