"This book covers several contemporary topics in the field of mathematical analysis and its applications and relevancies in other areas of research and study. It focuses on enriching the understanding of several methods, problems, and applications in mathematical analysis. The book also gives applications and uses of operator theory, approximation theory, optimization, variable exponent analysis, inequalities, special functions, functional equations, statistical convergence and some function spaces, and presents various associated problems and ways to solve such problems. That is, each chapter of this book aims to offer readers the understanding of discussed research problems by presenting related developments in reasonable details. As a result, with this book, we aim to bring academic scientists, researchers and scholars together in order to exchange and share their experiences and research results about all aspects of "Mathematical Analysis and Its Applications". Researchers will also find this book useful"--
This book covers contemporary topics in mathematical analysis and its applications and relevance in other areas of research. It provides a better understanding of methods, problems, and applications in mathematical analysis. It also covers applications and uses of operator theory, approximation theory, optimization, variable exponent analysis, inequalities, special functions, functional equations, statistical convergence and some function spaces, and presents various associated problems and ways to solve such problems. The book provides readers a better understanding of discussed research problems by presenting related developments in reasonable details. It strives to bring scientists, researchers and scholars together on a common platform.
The book covers contemporary topics in mathematical analysis and its applications, and provides readers a better understanding of discussed research problems by presenting related developments in reasonable details. It strives to bring scientists, researchers and scholars together on a common platform.
Preface. Approximation Results for Stochastic Processes via Statistical Convergence Based on a Power Series. Fractional Korovkin-type Results by P-statistical Convergence. Two Approaches for Evaluating the Period Function of Some Hamiltonian Systems. Continuous Characterizations of Weighted Besov and Triebel-Lizorkin-Type Spaces. Variable Exponent Vanishing Morrey Type Spaces on Unbounded Domains. Boundedness of the Intrinsic Square Function on Herz Spaces with Variable Exponents. q-Deformed and ?-Parametrized Hyperbolic Tangent Function Relied Complex Valued Trigonometric and Hyperbolic Neural Network High Order Approximations. Nonlinear Exponential Sampling: Approximation Results and Applications. Refinements and Reverses of Some Inequalities for the Normalized Determinants of Sequences of Positive Operators on Hilbert Spaces. Fuzzy Inference Based Approach of Ant Colony Optimization (ACO) in Fuzzy Transportation Models. Index.
Ferit Gürbüz has BSc (Maths), MSc (Maths) and PhD (Maths) degrees from Ankara University, Ankara, Turkey in 2008, 2011 and 2015, respectively. He is a Professor in the Department of Mathematics at Krklareli University (Turkey). His areas of interest are Harmonic analysis, Morrey type spaces, Besov-Triebel-Lizorkin type spaces, Herz type spaces, p-adic function spaces, variable exponent, singular integrals, pseudo differential operators, maximal function, Riesz potential, oscillation and variation operators, intrinsic square function, rough kernel, Marcinkiewicz integrals, p-adic fractional Hausdorff operator etc. He has served as an editor and referee for many journals and books. He has also written many articles and book chapters.
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