Approximation of periodic integrable functions in terms of modulus of continuity | Zendy

U. P. Singh | Zendy; Soshal | Zendy

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Approximation of periodic integrable functions in terms of modulus of continuity

Author(s) -

U. P. Singh,

Soshal

Publication year - 2016

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2016.20.03

Subject(s) - integrable system , modulus of continuity , mathematics , mathematical analysis , modulus , pure mathematics , geometry , geology , type (biology) , paleontology

We estimate the pointwise approximation of periodic functions belonging to L-p(omega)(beta)-class, where omega is an integral modulus of continuity type function associated with f, using product means of the Fourier series of f generated by the product of two general linear operators. We also discuss the case p = 1 separately. This case has not been mentioned in the earlier results given by various authors. The deviations obtained in our theorems are free from p and more sharper than the earlier results.

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