The book collects chapters on operator theory as well as related approximation results and analytic inequalities. It discusses the properties of various types of operators, methods for approximating such operators, proximity point problems, applications of approximation methods in other fields such as engineering, and some analytic inequalities. It seeks to capture both the pure and applied aspects of the topics discussed. Several of the concepts covered in the book are fundamental to many aspects of applied science and engineering. The intriguing and novel aspect of the book is that it focuses on foundational aspects of the topics as well as reasonable application ideas and inputs useful information for practical applications in a variety of other scientific and engineering fields.
Approximation by a Double Sequence of Operators involving Multivariable q-Lagrange–Hermite Polynomials.- Some Properties of the Parametric Baskakov–Cchurer–Szász Operators.- Approximation Process of the Fuzzy Meyer–König and Zeller Operators.- On Approximation of Signals in the Generalized Zygmund Class using (E, s)(N, qn) Mean.- Trigonometric Approximation of Signals belonging to lip (ξ(t), r) Class by (C, 1) (N,pm, qm)(E, θ) Means of Conjugate Fourier Series.- Turán-type Inequalities for the (p, k)-generalization of the Mittag–Leffler Function.- Multiplicative Generalized Hardy–Rogers-type F-proximal Non-self Mappings and Best Proximity Point Approximation.- Best Proximity Point Problems in G-metric Spaces and its Applications.- On a New Subclass of Bi-univalent Analytic Functions Characterized by (p, q)-Lucas Polynomial Coefficients via Sălăgean Differential Operator.- Sufficient Conditions for Generalized Integral Operators involving the Rabotnov Function.
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