Intelligent Analysis: Fractional Inequalities and Approximations Expanded (e-bog) af Anastassiou, George A.

Intelligent Analysis: Fractional Inequalities and Approximations Expanded e-bog

875,33 DKK (inkl. moms 1094,16 DKK)
This book focuses on computational and fractional analysis, two areas that are very important in their own right, and which are used in a broad variety of real-world applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, which are involved in major applications in economics. In turn, we address the local fractional deri...
E-bog 875,33 DKK
Forfattere Anastassiou, George A. (forfatter)
Forlag Springer
Udgivet 15 januar 2020
Genrer Cybernetics and systems theory
Sprog English
Format epub
Beskyttelse LCP
ISBN 9783030386368
This book focuses on computational and fractional analysis, two areas that are very important in their own right, and which are used in a broad variety of real-world applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, which are involved in major applications in economics. In turn, we address the local fractional derivatives of Riemann-Liouville type and related results including inequalities. We examine the case of low order Riemann-Liouville fractional derivatives and inequalities without initial conditions, together with related approximations. In the next section, we discuss quantitative complex approximation theory by operators and various important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar's well-known f-divergence, and present conformable fractional self-adjoint operator inequalities. We continue by investigating new local fractional M-derivatives that share all the basic properties of ordinary derivatives. In closing, we discuss the new complex multivariate Taylor formula with integral remainder. Sharing results that can be applied in various areas of pure and applied mathematics, the book offers a valuable resource for researchers and graduate students, and can be used to support seminars in related fields.