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1. Some inequalities for Cesàro means of double Vilenkin-Fourier series.

Author

Tepnadze, T. and Persson, L. E.

Subjects
*VARIATIONAL inequalities (Mathematics), *FOURIER series, *MATHEMATICAL functions, *MATHEMATICS, *APPROXIMATION theory
Abstract

In this paper, we state and prove some new inequalities related to the rate of Lp approximation by Cesàro means of the quadratic partial sums of double Vilenkin-Fourier series of functions from Lp. [ABSTRACT FROM AUTHOR]

Published
2018
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2. Notes on three conjectures involving the digamma and generalized digamma functions.

Author

Matejíčka, Ladislav

Subjects
*MATHEMATICAL equivalence, *LOGICAL prediction, *MATHEMATICAL functions, *DIFFERENTIAL equations, *MATHEMATICS
Abstract

In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new inequality for digamma function. [ABSTRACT FROM AUTHOR]

Published
2018
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