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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 4

Approximation properties of Bernstein's singular integrals in variable exponent Lebesgue spaces on the real axis

Ramazan AKGÜN
Sayfa
1059–1079
Yayın Tarihi
2022-12-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Estimates of simultaneous approximation by integral functions of finite degree in $L^{p(.)}$ are proved.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:Approximation properties of Bernstein singular integrals in these spaces are obtained.
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Sonuç & Katkı:Estimates of simultaneous approximation by integral functions of finite degree in $L^{p(.)}$ are proved.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Modulus of smoothness · simultaneous approximation · Bernstein singular integral

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.

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Bu Makaleye Atıf Yap

AKGÜN, R. (2022). Approximation properties of Bernstein's singular integrals in variable exponent Lebesgue spaces on the real axis. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 71 - Sayı: 4, 1059–1079. https://ajindex.com/articles/867587

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Kaynakça (15)

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