Bøger af George A. Anastassiou

This book presents the Opial, Poincare, Sobolev, Hilbert and Ostrowski fractional differentiation equalities, and results are derived for each using three different types of fractional derivatives. The univariate and multivariate cases are both examined.

Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. This book examines a wide array of topics in computational analysis.

This monograph is the r st in Fuzzy Approximation Theory. In Chapter 1 we give an extensive basic background on Fuzziness and Fuzzy Real Analysis, as well a complete description of the book. Then in Chapters 5, 6 we present results on classical algebraic and trigonometric polynomial Fuzzy Approximation.

A comprehensive study of the computational aspects of the moduli of smoothness and the Global Smoothness Preservation Property (GSPP). It includes applications of moduli of smoothness and GSPP concepts to approximation theory, probability theory, numerical and functional analysis; and a bibliography and index.

This book solves mathematical analysis problems using popular software packages. Besides fundamental theoretical notions, the book offers many exercises solved both mathematically and by computer, using Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15.