Zobrazeno 1 - 10 of 10 pro vyhledávání: '"Mikhail K Potapov"'
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Akademický článek
On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness
Autor: Nimete Sh. Berisha, Faton M. Berisha, Mikhail K. Potapov, Marjan Dema
Publikováno v: Abstract and Applied Analysis, Vol 2017 (2017)
In this paper, we give a characterization of Nikol’skiĭ-Besov type classes of functions, given by integral representations of moduli of smoothness, in terms of series over the moduli of smoothness. Also, necessary and sufficient conditions in term
Externí odkaz: https://doaj.org/article/4a2c6d8a276b407faf81b0a4ac953de7
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2
On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness
Autor: Mikhail K. Potapov, Nimete Sh. Berisha, Marjan Dema, Faton M. Berisha
Publikováno v: Abstract and Applied Analysis, Vol 2017 (2017)
Abstr. Appl. Anal.
In this paper, we give a characterization of Nikol'ski\u{\i}-Besov type classes of functions, given by integral representations of moduli of smoothness, in terms of series over the moduli of smoothness. Also, necessary and sufficient conditions in te
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdb82061c56f28c42bf5d951a0fa9a14
https://doaj.org/article/4a2c6d8a276b407faf81b0a4ac953de7
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4
On the connection between the best approximation by algebraic polynomials and the modulus of smoothness of order r
Autor: Faton M. Berisha, Mikhail K. Potapov
Publikováno v: Journal of Mathematical Sciences. 155:153-169
We introduce a family of asymmetric generalized translations. In terms of these operators, we define generalized moduli of smoothness for which the direct and inverse theorems of approximation theory are proved.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::80eec7ea45e33183e4c5cef3721fc286
https://doi.org/10.1007/s10958-008-9217-x
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8
Some reverse $l_p$-type inequalities involving certain quasi monotone sequences
Autor: Reshad Kadriu, Mikhail K. Potapov, Faton M. Berisha, Nimete Sh. Berisha
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-negative decreasing sequences are obtained. The inequalities are closely
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f73292d79bae403e6be877145c5e9f35
http://arxiv.org/abs/1511.00187
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10
Direct and inverse theorems of approximation theory for a generalized modulus of smoothness
Autor: Faton M. Berisha, Mikhail K. Potapov
Publikováno v: Analysis Mathematica. 25:187-203
An asymmetric operator of generalized translation is introduced in this paper. Using this operator, we define a generalized modulus of smoothness and prove direct and inverse theorems of approximation theory for it. В данной работе вв
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e7981f23d2747488a4ab16f10aa28476
https://doi.org/10.1007/bf02908436
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