JOURNAL ARTICLE

Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators

Vishnu Narayan MishraPreeti SharmaAdem KılıçmanDilip Jain

Year: 2016 Journal:   Universiti Putra Malaysia Institutional Repository (Universiti Putra Malaysia)   Publisher: Universiti Putra Malaysia

Abstract

In the present paper, we consider Stancu type generalization of\n Baskakov-Kantorovich operators based on the q-integers and obtain\n statistical and weighted statistical approximation properties of these\n operators. Rates of statistical convergence by means of the modulus of\n continuity and the Lipschitz type function are also established for said\n operators. Finally, we construct a bivariate generalization of the operator\n and also obtain the statistical approximation properties.

Keywords:
Mathematics Modulus of continuity Baskakov operator Generalization Bivariate analysis Type (biology) Lipschitz continuity Operator (biology) Rate of convergence Operator theory Pure mathematics Applied mathematics Mathematical analysis Statistics Fourier integral operator Microlocal analysis

Metrics

5
Cited By
0.00
FWCI (Field Weighted Citation Impact)
32
Refs
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Approximation Theory and Sequence Spaces
Physical Sciences →  Mathematics →  Statistics and Probability
Fuzzy and Soft Set Theory
Social Sciences →  Decision Sciences →  Management Science and Operations Research
Multi-Criteria Decision Making
Social Sciences →  Decision Sciences →  Management Science and Operations Research

Related Documents

JOURNAL ARTICLE

Approximation Properties for Stancu Type q−Baskakov- Kantorovich Operators

Çíğdem Atakutİbrahim Büyükyazıcı

Journal:   Mathematical Sciences Letters Year: 2013 Vol: 3 (1)Pages: 53-58
JOURNAL ARTICLE

Approximation Properties by Generalized-Baskakov- Kantorovich-Stancu Type Operators

Abdul WafiNadeem RaoDeepmala Rai

Journal:   Applied Mathematics & Information Sciences Letters Year: 2016 Vol: 4 (3)Pages: 111-118
JOURNAL ARTICLE

Statistical approximation properties of q-Baskakov-Kantorovich operators

Vijay GuptaCristina Radu

Journal:   Open Mathematics Year: 2009 Vol: 7 (4)Pages: 809-818
JOURNAL ARTICLE

Some statistical approximation properties of Kantorovich-type q-Bernstein-Stancu operators

Mei-Ying RenXiaoming Zeng

Journal:   Journal of Inequalities and Applications Year: 2014 Vol: 2014 (1)
JOURNAL ARTICLE

Approximation Properties of Stancu-Type (p,q)-Baskakov Operators

Kadir KanatMelek Sofyalıoğlu

Journal:   Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Year: 2019 Vol: 8 (3)Pages: 889-902
© 2026 ScienceGate Book Chapters — All rights reserved.