On double cosine, sine, and Walsh series with monotone coefficients

Certain Estimates for Double Sine Series with Multiple-monotone Coefficients

Comprehensive Performance Comparison of Fourier, Walsh, Haar, Sine and Cosine Transforms for Video Retrieval with Partial Coefficients of Transformed Video

The desire of better and faster retrieval techniques has always fuelled to the research in content based video retrieval (CBVR). The extended comparison of innovative content based video retrieval (CBVR) techniques based on feature vectors as partial coefficients of transformed video frames using various orthogonal transforms is presented in the paper. Here the popular transforms are considered...

Power-monotone Sequences and Fourier Series with Positive Coefficients

J. Németh has extended several basic theorems of R. P. Boas Jr. pertaining to Fourier series with positive coefficients from Lipschitz classes to generalized Lipschitz classes. The goal of the present work is to find the common root of known results of this type and to establish two theorems that are generalizations of Németh’s results. Our results can be considered as sample examples showing t...

Inequalities for Walsh Polynomials with Semi-monotone and Semi-convex Coefficients

Using the concept of majorant sequences (see [4, ch. XXI], [5], [7], [8]) some new inequalities for Walsh polynomials with complex semi-monotone, complex semi-convex, complex monotone and complex convex coefficients are given.

Uniform Convergence of Double Trigonometric Series

It is a classical problem in Fourier analysis to give conditions for a single sine or cosine series to be uniformly convergent. Several authors gave conditions for this problem supposing that the coefficients are monotone, non-negative or more recently, general monotone. There are also results for the regular convergence of double sine series to be uniform in case the coefficients are monotone ...