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Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
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T. Akhobadze
Published/Copyright:
February 23, 2010
Abstract
Generalized Wiener classes are considered. For these classes the exact order of Fourier coefficients with respect to the trigonometrical system is established. The property of Fourier coefficient indices is investigated, at which the specified exact order is achieved.
Received: 1999-11-03
Published Online: 2010-02-23
Published in Print: 2000-September
© Heldermann Verlag
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Articles in the same Issue
- Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
- On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
- The Basic Mixed Plane Boundary Value Problem of Statics in the Elastic Mixture Theory
- Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
- Colimits in the Crossed Modules Category in Lie Algebras
- On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
- Upper and Lower Solutions of Boundary Value Problems for Functional Differential Equations and Theorems on Functional Differential Inequalities
- Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines
- Some Fixed Point Theorems in Metrically Convex Spaces
- Weak Type Maximal Inequality and the Rate of Growth of Integral Means
- On the Number of Representations of Positive Integers by Some Quadratic Forms in Fourteen Variables
- On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
- Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay
- Upper and Lower Solutions Method for A System of Higher Order Difference Equations
