An improved estimate on the degree of approximation to functions of bounded variation by certain operators

Vijay Gupta; Aquil Ahmad

Publicado

1995-07-01

An improved estimate on the degree of approximation to functions of bounded variation by certain operators

Palabras clave:

Approximation operators, rate of convergence of approximation operators, functions of bounded variation, random variables, probability distributions, moments and means, Bernstein polynomials (es)

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Autores/as

Vijay Gupta University of Roorkee
Aquil Ahmad University of Roorkee

Resumen (en)

Guo introduced a modification Mn (f, x) of the Meyer-König- Zeller operators Mn (f, x) and gave an estimate on the rate of convergence to f of the modified operators when f is a function of bounded variation. In the present paper we establish a sharp estimate on the operators Mn (J, x) using some results in probability theory.

Cómo citar

APA

Gupta, V. y Ahmad, A. (1995). An improved estimate on the degree of approximation to functions of bounded variation by certain operators. Revista Colombiana de Matemáticas, 29(2), 119–126. https://revistas.unal.edu.co/index.php/recolma/article/view/33549

ACM

[1]

Gupta, V. y Ahmad, A. 1995. An improved estimate on the degree of approximation to functions of bounded variation by certain operators. Revista Colombiana de Matemáticas. 29, 2 (jul. 1995), 119–126.

ACS

(1)

Gupta, V.; Ahmad, A. An improved estimate on the degree of approximation to functions of bounded variation by certain operators. rev.colomb.mat 1995, 29, 119-126.

ABNT

GUPTA, V.; AHMAD, A. An improved estimate on the degree of approximation to functions of bounded variation by certain operators. Revista Colombiana de Matemáticas, [S. l.], v. 29, n. 2, p. 119–126, 1995. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33549. Acesso em: 12 mar. 2025.

Chicago

Gupta, Vijay, y Aquil Ahmad. 1995. «An improved estimate on the degree of approximation to functions of bounded variation by certain operators». Revista Colombiana De Matemáticas 29 (2):119-26. https://revistas.unal.edu.co/index.php/recolma/article/view/33549.

Harvard

Gupta, V. y Ahmad, A. (1995) «An improved estimate on the degree of approximation to functions of bounded variation by certain operators», Revista Colombiana de Matemáticas, 29(2), pp. 119–126. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33549 (Accedido: 12 marzo 2025).

IEEE

[1]

V. Gupta y A. Ahmad, «An improved estimate on the degree of approximation to functions of bounded variation by certain operators», rev.colomb.mat, vol. 29, n.º 2, pp. 119–126, jul. 1995.

MLA

Gupta, V., y A. Ahmad. «An improved estimate on the degree of approximation to functions of bounded variation by certain operators». Revista Colombiana de Matemáticas, vol. 29, n.º 2, julio de 1995, pp. 119-26, https://revistas.unal.edu.co/index.php/recolma/article/view/33549.

Turabian

Gupta, Vijay, y Aquil Ahmad. «An improved estimate on the degree of approximation to functions of bounded variation by certain operators». Revista Colombiana de Matemáticas 29, no. 2 (julio 1, 1995): 119–126. Accedido marzo 12, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33549.

Vancouver

1.

Gupta V, Ahmad A. An improved estimate on the degree of approximation to functions of bounded variation by certain operators. rev.colomb.mat [Internet]. 1 de julio de 1995 [citado 12 de marzo de 2025];29(2):119-26. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33549