Turkish Journal of Mathematics
DOI
10.3906/mat-1605-26
Abstract
We obtain several inequalities of approximation by integral functions of finite degree in generalized Lebesgue spaces with variable exponent defined on the real axis. Among them are direct, inverse, and simultaneous estimates of approximation by integral functions of finite degree in $L^{p\left( \cdot \right)}.$ An equivalence of modulus of continuity with Peetre's $K$ -functional is established. A constructive characterization of Lipschitz class is also obtained.
Keywords
Direct theorem, inverse theorem, modulus of continuity, simultaneous approximation, Lipschitz class
First Page
1887
Last Page
1903
Recommended Citation
AKGÜN, RAMAZAN and GHORBANALIZADEH, ARASH
(2018)
"Approximation by integral functions of finite degree in variable exponentLebesgue spaces on the real axis,"
Turkish Journal of Mathematics: Vol. 42:
No.
4, Article 27.
https://doi.org/10.3906/mat-1605-26
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss4/27
