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On a q-analogue of Stancu operators

100%

Agratini O.

Open Mathematics

2010

tom 8

nr 1

191-198

This paper is concerned with a generalization in q-Calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for the rate of convergence. A probabilistic approach is presented and approximation properties are established.

On ideal equal convergence

58%

Filipów R., Staniszewski M.

Open Mathematics

2014

tom 12

nr 6

896-910

We consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472]. Our definition of ideal equal convergence encompasses two different kinds of ideal equal convergence introduced in [Das P., Dutta S., Pal S.K., On and *-equal convergence and an Egoroff-type theorem, Mat. Vesnik, 2014, 66(2), 165–177]_and [Filipów R., Szuca P., Three kinds of convergence and the associated I-Baire classes, J. Math. Anal. Appl., 2012, 391(1), 1–9]. We also solve a few problems posed in the paper by Das, Dutta and Pal.

Ograniczanie wyników

2 Open Mathematics

1 Agratini O.

1 Filipów R.

1 Staniszewski M.

1 2014

1 2010

Wyniki wyszukiwania

On a q-analogue of Stancu operators

On ideal equal convergence