This monograph proposes a new classification of periodic functions, based on the concept of generalized derivative, defined by introducing multiplicators and sh

The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the f

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the f

In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in comput