Geodesic
On Simultaneous Approximation and Combinations of Lupas Type Operators
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 619 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The purpose of the present paper is to study a sequence of linear and positive operators which was introduced by A. Lupas. First, we obtain estimate of moments of the operators and then prove a basic convergence theorem for simultaneous approximation. Further, we find error in approximation in terms of modulus of continuity of function. Finally, we establish a Voronovskaja asymptotic formula for linear combination of the above operators.
DOI : 10.46793/KgJMat2404.619S
Classification : 41A25, 41A28, 41A36
Keywords: Lupas operators, simultaneous approximation, modulus of continuity, Voronovskaja asymptotic formula, linear combinations 
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T. A. K. Sinha; K. K. Singh; Avinash K. Sharma. On Simultaneous Approximation and Combinations of Lupas Type Operators. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 619 . doi : 10.46793/KgJMat2404.619S. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2404.619S/

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