Bézier Type Kantorovich q-Baskakov Operators via Wavelets and Some Approximation Properties

被引：29

作者：

Savas, Ekrem ^{[1
]}

Mursaleen, Mohammad ^{[2
,3
]}

机构：

[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkiye

[2] China Med Univ, China Med Univ Hosp, Dept Chinese Med, Taichung, Taiwan

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2023年 / 49卷 / 05期

关键词：

Bezier basis; Baskakov operators; Kantorovich Baskakov operators; q-integer; Wavelets; Approximation; Chanturiya's modulus of variation; Bounded variation; BEZIER TYPE OPERATORS; CONVERGENCE;

D O I：

10.1007/s41980-023-00815-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct the Bezier variant of the operators constructed by Nasiruzzaman et al. (Iran J Sci Technol Trans A Sci 46(5):1495-1503, 2022). We use the notion of wavelets to construct Bezier type Kantorovich q-Baskakov wavelet operators. We calculate the moments and central moments and prove some approximation results for our new operators.

引用

页数：14

共 15 条

[1]

Abel U., 2003, DEMONSTR MATH, V36, P123, DOI DOI 10.1515/DEMA-2003-0114

[2]

Agratini O., 1997, Revue d'analyse numerique et de theorie de l'approximation, V26, P3

[3]

Chang G., 1983, J COMPUT MATH, V1, P322

[4]

Chui CK., 1992, An Introduction to Wavelets, DOI [10.5555/163196, DOI 10.5555/163196]

[5]

Daubechies I, 1992, 10 LECT WAVELETS, DOI [DOI 10.1137/1.9781611970104, 10.1137/1.9781611970104]

[6]

Ditzian Z., 1987, Moduli of smoothness, DOI [10.1007/978-1-4612-4778-4, DOI 10.1007/978-1-4612-4778-4]

[7]

Gonska H. H., 1995, Revue d'analyse numerique et de theorie de l'approximation, P131

[8] Statistical approximation properties of q-Baskakov-Kantorovich operators [J].

Gupta, Vijay ;

Radu, Cristina .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2009, 7 (04) :809-818

[9]

Kac V., 2002, Quantum Calculus, DOI [10.1007/978-1-4613-0071-7, DOI 10.1007/978-1-4613-0071-7]

[10] ON WAVELET TYPE GENERALIZED BEZIER OPERATORS [J].

Karsli, Harun .

MATHEMATICAL FOUNDATIONS OF COMPUTING, 2023, 6 (03) :439-452

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