M. K. Potapov

activity

20122017

most citedApproximation of classes of functions defined by a generalized

r

-th modulus of smoothness

6 citations · 8 across the 8 of their papers we have counts for

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math.CA2017

On approximations by trigonometric polynomials of classes of functions defined by moduli of smoothness

Nimete Sh. Berisha, Faton M. Berisha, Mikhail K. Potapov +1

In this paper, we give a characterization of Nikol'ski\uı-Besov type classes of functions, given by integral representations of moduli of smoothness, in terms of series over the mo…

math.CA2015★ 2 cited

Some reverse $l_{p}$ -type inequalities involving certain quasi monotone sequences

Mikhail K. Potapov, Faton M. Berisha, Nimete Sh. Berisha +1

In this paper, we give some $l_{p}$ -type inequalities about sequences satisfying certain quasi monotone type properties. As special cases, reverse $l_{p}$ -type inequalities for non-neg…

math.CA2013

Mixed Moduli of Smoothness in $L_{p}$ , $1 < p < \infty$

M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov

In this paper we survey recent developments over the last 25 years on the mixed fractional moduli of smoothness of periodic functions from $L_{p}$ , $1 < p < \infty$ . In particular, the p…

On approximations by trigonometric polynomials of classes of functions defined by moduli of smoothness

Some reverse lp​-type inequalities involving certain quasi monotone sequences

Mixed Moduli of Smoothness in Lp​, 1<p<∞

Some reverse $l_{p}$ -type inequalities involving certain quasi monotone sequences

Mixed Moduli of Smoothness in $L_{p}$ , $1 < p < \infty$