Convergence in φ-variation for Mellin-type nonlinear integral operators

被引：0

作者：

Aslan, Ismail ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkiye

来源：

JOURNAL OF ANALYSIS | 2024年

关键词：

Mellin-type operators; Convergence in phi-variation; phi-absolutely continuous functions; Summability process; EXPONENTIAL-SAMPLING METHOD; APPROXIMATION;

D O I：

10.1007/s41478-024-00760-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we examine Mellin-type nonlinear integral operators equipped with the Haar measure. Using phi-absolutely continuous functions, we obtain some approximations via summability process. Order of convergence is also observed. In addition, we have a general characterization theorem for phi-absolutely continuous functions. Finally, we give an application of our study with some illustrations and numerical computations.

引用

页码：2709 / 2731

页数：23

共 36 条

[11] Approximation by nonlinear integral operators via summability process [J].

Aslan, Ismail ;

Duman, Oktay .

MATHEMATISCHE NACHRICHTEN, 2020, 293 (03) :430-448

[12] Summability on Mellin-type nonlinear integral operators [J].

Aslan, Ismail ;

Duman, Oktay .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (06) :492-511

[13]

Bardaro C., 2003, Nonlinear Integral Operators and Applications: De Gruyter Series in Nonlinear Analysis and Applications, V9, DOI DOI 10.1515/9783110199277

[14]

Bardaro C., 1991, Applicable Analysis, V41, P247, DOI [10.1080/00036819108840029, DOI 10.1080/00036819108840029]

[15]

Bardaro C, 2001, FUNCT APPROX COMMENT, V29, P17, DOI DOI 10.7169/facm/1538186713

[16]

Bardaro C., 2013, Communications on Applied Nonlinear Analysis, V20, P25

[17] ORDER SUMMABILITY AND ALMOST CONVERGENCE [J].

BELL, HT .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (03) :548-552

[18] EXPONENTIAL-SAMPLING METHOD FOR LAPLACE AND OTHER DILATIONALLY INVARIANT TRANSFORMS .2. EXAMPLES IN PHOTON-CORRELATION SPECTROSCOPY AND FRAUNHOFER-DIFFRACTION [J].

BERTERO, M ;

PIKE, ER .

INVERSE PROBLEMS, 1991, 7 (01) :21-41

[19]

Butzer P. L., 1998, Atti del Seminario Matematico e Fisico dell' Universita di Modena, P99

[20] A direct approach to the Mellin transform [J].

Butzer, PL ;

Jansche, S .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1997, 3 (04) :325-376

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