Geodesic
Self Adjoint Operator Korovkin type Quantitative Approximations
George A. Anastassiou1 ; George A. Anastassiou
1Department of Mathematical Sciences, University of Memphis
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 165-186 
George A. Anastassiou; George A. Anastassiou. Self Adjoint Operator Korovkin type Quantitative Approximations. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 165-186. http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a13/
@article{AMUC_2017_86_1_a13,
     author = {George A. Anastassiou and George A. Anastassiou},
     title = { Self {Adjoint} {Operator} {Korovkin} type {Quantitative} {Approximations}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {165--186},
     year = {2017},
     volume = {86},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a13/}
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Voir la notice de l'article provenant de la source Comenius University

Here we present self adjoint operator Korovkin type theorems, via self adjoint operator Shisha-Mond type inequalities. This is a quantitative treatment to determine the degree of self adjoint operator uniform approximation with rates, of sequences of self adjoint operator positive linear operators. We give several applications involving the self adjoint operator Bernstein polynomials. This study appears for the rst time in the literature.