On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness
Joint Authors
Berisha, Nimete Sh.
Berisha, Faton M.
Potapov, Mikhail K.
Dema, Marjan
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-21
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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 terms of monotone or lacunary Fourier coefficients for a function to belong to such a class are given.
In order to prove our results, we make use of certain recent reverse Copson-type and Leindler-type inequalities.
American Psychological Association (APA)
Berisha, Nimete Sh.& Berisha, Faton M.& Potapov, Mikhail K.& Dema, Marjan. 2017. On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness. Abstract and Applied Analysis،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1120865
Modern Language Association (MLA)
Berisha, Nimete Sh.…[et al.]. On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness. Abstract and Applied Analysis No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1120865
American Medical Association (AMA)
Berisha, Nimete Sh.& Berisha, Faton M.& Potapov, Mikhail K.& Dema, Marjan. On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness. Abstract and Applied Analysis. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1120865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120865
