Rate of convergence for Ibragimov-Gadjiev-Durrmeyer operators

• Autorzy: Acar T.

Identyfikatory

DOI

10.1515/dema-2017-0014

• Języki publikacji: EN

Abstrakty

EN

The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include some well known operators as particular cases viz. Szász-Mirakyan-Durrmeyer operators, Baskakov-Durrmeyer operators. Here we estimate the rate of convergence of Ibragimov-Gadjiev-Durrmeyer operators for functions having derivatives of bounded variation.

Słowa kluczowe

EN

Ibragimov-Gadjiev-Durrmeyer operators; rate of convergence; bounded variation

PL

operatory Ibragimova-Gadjieva-Durrmeyera; szybkość zbieżności; wariacja ograniczona

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 119--129
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Acar T.

• Kirikkale University, Department of Mathematics, TR-71450 Yahsihan, Kirikkale, Turkey

Bibliografia

• [1] Aral A., Acar T., Modern mathematical methods and high performance computing in science and technology, 1–15, Springer Proc. Math. Stat., 171, (Springer, Singapore, 2016)
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• [8] Acar T., Proc. Jangjeon Math. Soc., 2013, 16(1), 21-35.
• [9] Acar T., Gupta V., and Aral A., Bull. Math. Sci., 2011, 1(1), 99-113.
• [10] Acar T., Mishra L. N. and Mishra V. N., J. Funct. Spaces, 2015, Art. ID 936308.
• [11] Sinha J., Singh V. K., General Math., 2006, 14(4), 29-36.
• [12] Verma D. K., Agrawal P. N., Math. Sci., 2012, 6(22), Art. 22, 8 pp.
• [13] Gupta V., Agarwal R. P., Convergence Estimates in Approximation Theory, (Springer, 2014).

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).