Approximation properties of Bernstein's singular integrals in variable exponent Lebesgue spaces on the real axis
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi
Abstract
In generalized Lebesgue spaces
L
p
(
.
)
with variable exponent
p
(
.
)
defined on the real axis, we obtain several inequalities of approximation by integral functions of finite degree. Approximation properties of Bernstein singular integrals in these spaces are obtained. Estimates of simultaneous approximation by integral functions of finite degree in
L
p
(
.
)
are proved.
Description
Keywords
Modulus of smoothness, simultaneous approximation, Bernstein singular integral, forward Steklov mean, mollifiers, Jackson inequality, entire integral functions of finite degree