On Lupaş-Kantorovich operators with Riemann-Liouville fractional integral

In this note, we deal with Riemann-Liouville type Fractional Lupa?-Kantorovich operators of order ?, which introduces a new sequence of positive linear operators with fractional integration. Rate of convergence using modulus of continuity and approximate the Lipschitz class function using these new sequences of positive linear operators are obtained. We also discussed that error estimation in Riemann-Liouville fractional integral type Lupa?-Kantorovich operators (5) is better than Lupa?-Kantorovich op-erators (3). It?s weighted approximation properties and Voronovskaja?s type approximation theorems are also discussed. Approximation properties of the bivariate Riemann-Liouville fractional integral type Lupa?-Kantorovich operators are introduced and discussed at the end.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2509171p
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00

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On Lupaş-Kantorovich operators with Riemann-Liouville fractional integral

Prashantkumar Patel, H. Parmar
Filomat
Approximation Theory and Sequence Spaces
article

On Lupaş-Kantorovich operators with Riemann-Liouville fractional integral

Prashantkumar Patel, H. Parmar
article en

Abstract

In this note, we deal with Riemann-Liouville type Fractional Lupa?-Kantorovich operators of order ?, which introduces a new sequence of positive linear operators with fractional integration. Rate of convergence using modulus of continuity and approximate the Lipschitz class function using these new sequences of positive linear operators are obtained. We also discussed that error estimation in Riemann-Liouville fractional integral type Lupa?-Kantorovich operators (5) is better than Lupa?-Kantorovich op-erators (3). It?s weighted approximation properties and Voronovskaja?s type approximation theorems are also discussed. Approximation properties of the bivariate Riemann-Liouville fractional integral type Lupa?-Kantorovich operators are introduced and discussed at the end.

FilomatVol. 39(9)
Sardar Patel University (IN)
University Grants Commission
Openalex Percentile: Top 80%
Approximation Theory and Sequence Spaces
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