Differences of operators of Baskakov type

• Autorzy: Gupta Vijay
• Języki publikacji: EN

Abstrakty

EN

In the present article, we study the approximation of difference of operators and find the quantitative estimates for the differences of Baskakov with Baskakov-Szasz and genuine Baskakov-Durrmeyer operators. We also estimate the result for the difference of Baskakov-Szasz and genuine Baskakov-Durrmeyer operators.

Słowa kluczowe

EN

difference of operators; Baskakov operators; Baskakov-Szasz operator; genuine Baskakov-Durrmeyer operators; modulus of continuity

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2019
• Tom: nr 62
• Strony: 47--55
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Gupta Vijay

• Department of Mathematics Netaji Subhas University of Technology Sector 3 Dwarka, New Delhi-110078, India

Bibliografia

• [1] Acu A.M., Rasa I., New estimates for the differences of positive linear operators, Numer. Algorithms, 73(2016), 775-789.
• [2] Acu A.M., Rasa I., Estimates for the differences of positive linear operators and their derivatives, arXiv preprint arXiv:1810.08839.
• [3] Aral A., Inoan D., Rasa I., On differences of linear positive operators, Anal. Math. Phys, 9(3)(2019), 1227-1239. https://doi.org/10.1007/s1332.
• [4] Finta Z., On converse approximation theorems, J. Math. Anal. Appl., 312(1)(2005), 159-180.
• [5] Gupta V., On difference of operators with applications to Szász type operators, Revista de la Real Academia de Ciencias Exactas, Ftsicas y Naturales. Serie A. Matemáticas, 113(3)(2019), 2059-2071. https://doi.org/ 10.1007/s13398-018-0605-x.
• [6] Gupta V., General estimates for the difference of operators, Comput. Math. Methods, 1(2)(2019), e10118. https://doi.org/10.1002/cmm4.1018.
• [7] Gupta V., Differences of operators of Lupaş type, Constructive Math. Analysis, 1(1)(2018), 9-14.
• [8] Gupta V., Srivastava G.S., Simultaneous approximation by Baskakov-Szász type operators, Bulletin Math. de la Soc. des Sci. Math. de Roumanie, Nouvelle Serie, 37(85)(3/4)(1993), 73-85.
• [9] Gupta V., Rassias T.M., Agrawal P.N., Acu A.M., Recent Advances in Constructive Approximation Theory, Springer Optimization and Its Applications, 138, (2018), Springer, Cham.
• [10] Gupta Y., Tachev G., A note on the differences of two positive linear operators, Constructive Math. Analysis, 2(1)(2019), 1-7.
• [11] Lupaş A., The approximation by means of some linear positive operators. In: Approximation Theory (M.W. Muller others, eds), Akademie-Verlag, Berlin, 1995, pp. 201-227.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).