Approximation by baskakov-szász-stancu operators preserving exponential functions

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Bodur M., Yilmaz Ö. G., Aral A.

Constructive Mathematical Analysis, vol.1, no.1, pp.1-8, 2018 (Scopus)

• Publication Type: Article / Article
• Volume: 1 Issue: 1
• Publication Date: 2018
• Doi Number: 10.33205/cma.450708
• Journal Name: Constructive Mathematical Analysis
• Journal Indexes: Scopus
• Page Numbers: pp.1-8
• Keywords: Baskakov-Szász-Stancu operators, Exponential functions, Quantitative results, Weighted approximation
• Open Archive Collection: AVESIS Open Access Collection
• Ankara University Affiliated: Yes

Abstract

© 2018 Selcuk University. All right reserved.The purpose of this paper is to construct a general class of operators which has known Baskakov- Szász-Stancu that preserving constant and e2ax; 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-Szász-Stancu operators and the recent operators.