Approximation Properties of Truncated Nonlinear Mihesan Operators

ABSTRACT The Mihesan operator is the generalization of well‐known positive linear operators like Bernstein operators, Szász–Mirakjan operators, Baskakov operators, and Lupaş operators. In order to expand the theory of positive operators beyond the linear example, nonlinear positive operators are essential. We have introduced the nonlinear Mihesan operators and find the approximation properties of Truncated Mihesan operators with all steps in this note.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-01-29
DOI
https://doi.org/10.1002/mma.10755
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00

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Approximation Properties of Truncated Nonlinear Mihesan Operators

Prashantkumar Patel, H. Parmar
21 links
Mathematical Methods in the Applied Sciences
Approximation Theory and Sequence Spaces
article

Approximation Properties of Truncated Nonlinear Mihesan Operators

Prashantkumar Patel, H. Parmar
article en

Abstract

ABSTRACT The Mihesan operator is the generalization of well‐known positive linear operators like Bernstein operators, Szász–Mirakjan operators, Baskakov operators, and Lupaş operators. In order to expand the theory of positive operators beyond the linear example, nonlinear positive operators are essential. We have introduced the nonlinear Mihesan operators and find the approximation properties of Truncated Mihesan operators with all steps in this note.

Mathematical Methods in the Applied SciencesVol. 48(8)
Sardar Patel University (IN)
University Grants Commission
Openalex Percentile: Top 98%
Approximation Theory and Sequence Spaces
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