What question did this study set out to answer?

This research aims to explore the convergence properties of approximation operators and their generalizations.

January 18, 2026Open Access

Convergence of operators based on two different basis functions

Key Points

This research aims to explore the convergence properties of approximation operators and their generalizations.
Constructed composition operators based on two different basis functions.
Analyzed the convergence behaviour of these operators.
Estimated results using characteristic functions of the operators.
Established difference estimates related to the modulus of continuity.
Confirmed specific convergence behaviours of the constructed operators.
Provided direct results that estimate the performance of these approximation operators.
Established difference estimates that highlight the operators' continuity.

Abstract

We deal with the approximation operators which are generalization of the operators of exponential type. We construct some composition operators and discuss the convergence behaviour. Also we estimate some direct results with the aid of the characteristic functions of such operators. Also, difference estimates in terms of modulus of continuity are established.

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Authors

Vishal Gupta

Ruchi Gupta

Journals

Publications de l Institut Mathematique

Actions

Institutions

Netaji Subhas University of Technology

Manav Rachna International Institute of Research and Studies

References and Citations

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Building similarity graph...

Analyzing shared references across papers

Convergence of operators based on two different basis functions

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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