Dergiler / Constructive Mathematical Analysis / 2026 / Volume: 1 Issue: 1

Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions

Övgü Gürel Yılmaz(ANKARA UNIVERSITY)
Ali Aral(Dr., Kırıkkale University,)
Sayfa
—
Yayın Tarihi
2018-09-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szá sz-Stancu operators and the recent operators.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The purpose of this paper is to construct a general class of operators which has known Baskakov-Szá sz-Stancu that preserving constant and $e^{2ax}, a>0$ functions.
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Temel Bulgular & Veri:We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well.
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Sonuç & Katkı:Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szá sz-Stancu operators and the recent operators.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Exponential functions · Quantitative results · Weighted approximation

Abstract

The purpose of this paper is to construct a general class of operators which has known Baskakov-Szá sz-Stancu that preserving constant and $e^{2ax}, a>0$ functions. We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szá sz-Stancu operators and the recent operators.

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Bu Makaleye Atıf Yap

Bodur, M., Yılmaz, Ö. G., Aral, A. (2018). Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions. Constructive Mathematical Analysis, Volume: 1 Issue: 1. https://doi.org/10.33205/cma.450708

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Kaynakça (19)

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