Geodesic
Degree of convergence of an integral operator
Ram N. Mohapatra1 ; Bogdan Szal2 ; Ram N. Mohapatra ; Bogdan Szal
1University of Central Florida, Orlando, USA
2Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Poland
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 279-294 
Ram N. Mohapatra; Bogdan Szal; Ram N. Mohapatra; Bogdan Szal. Degree of convergence of an integral operator. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 279-294. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a6/
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     title = { Degree of convergence of an integral operator},
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     pages = {279--294},
     year = {2020},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a6/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper we define an integral operator on $L^{p}$ and obtain its degree of convergence in the appropriate norm. By specializing the kernel of the integral operator we get many known results as corollaries. We have also applied our results to obtain results on singular integral operators.