Approximations of periodic functions by analogue of Zygmund sums in the spaces Lp(•) | Zendy

S. O. Chaichenko | Zendy

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Approximations of periodic functions by analogue of Zygmund sums in the spaces Lp(•)

Author(s) -

S. O. Chaichenko

Publication year - 2016

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1613155c

Subject(s) - mathematics , lp space , differentiable function , lebesgue integration , exponent , lebesgue's number lemma , standard probability space , pure mathematics , variable (mathematics) , periodic function , mathematical analysis , discrete mathematics , operator theory , banach space , riemann integral , philosophy , linguistics , fourier integral operator

We found order estimates for the upper bounds of the deviations of analogue of Zygmund’s sums on the classes of (ψ;β)-differentiable functions in the metrics of generalized Lebesgue spaces with variable exponent.

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