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On the rate of approximation in the random sum CLT for dependent variables

Adhir Kumar Basu (1987)

Aplikace matematiky

Capital $" O "$ and lower-case $" o "$ approximations of the expected value of a class of smooth functions $(f \in C^{r} (R))$ of the normalized random partial sums of dependent random variables by the expectation of the corresponding functions of Gaussian random variables are established. The same types of approximation are also obtained for dependent random vectors. This generalizes and improves previous results of the author (1980) and Rychlik and Szynal (1979).

On the rate of convergence for bivariate Beta operators.

Gupta, Vijai, Deo, Naokant (2005)

General Mathematics

On the rate of convergence for modified Szász-Mirakyan operators on functions of bounded variation.

Sahai, Ashok, Prasad, Govind (1993)

Publications de l'Institut Mathématique. Nouvelle Série

On the rate of convergence of Hermite-Fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials

Radwan Al-Jarrah, Abedallah Rababah (1990)

Revista colombiana de matematicas

On the rate of convergence of some orthogonal polynomial expansions.

Powierska, Małgorzata (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On the rate of pointwise convergence of Szász-Mirakyan operators

Paulina Pych-Taberska (1989)

Banach Center Publications

On the rate of strong summability by matrix means in the generalized Hölder metric.

Szal, Bogdan (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On the rate of summability by matrix means in the generalized Hölder metric

Bogdan Szal (2011)

Banach Center Publications

We will generalize and improve the results of T. Singh [Publ. Math. Debrecen 40 (1992), 261-271] obtaining the L. Leindler type estimates from [Acta Math. Hungar. 104 (2004), 105-113].

Displaying 61 – 73 of 73

On the rate of approximation in the random sum CLT for dependent variables

On the rate of convergence for bivariate Beta operators.

On the rate of convergence for modified Szász-Mirakyan operators on functions of bounded variation.

On the rate of convergence of Hermite-Fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials

On the rate of convergence of some orthogonal polynomial expansions.

On the rate of pointwise convergence of Szász-Mirakyan operators

On the rate of strong summability by matrix means in the generalized Hölder metric.

On the rate of summability by matrix means in the generalized Hölder metric

On the Sharpness of Non-Optimal Approximation for Semigroup Operators.

On uniform convergence for (mu,nu)-type rational approximants in $C^{n} \cdot$ II.

On weighted $ℒ_{1}$ -approximation by polynomials

Optimal problems concerning interpolation methods of solution of equations.

Order of approximation of functions of two variables by new type gamma operators.

Currently displaying 61 – 73 of 73