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Approximation by Baskakov quasiinterpolants
, 2013
"... Baskakov operators and their inverses can be expressed as linear differential operators on polynomials. Recurrence relations are given for the computation of these coefficients. They allow the construction of the associated Baskakov quasiinterpolants (abbr. QIs). Then asymptotic results are provide ..."
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Baskakov operators and their inverses can be expressed as linear differential operators on polynomials. Recurrence relations are given for the computation of these coefficients. They allow the construction of the associated Baskakov quasiinterpolants (abbr. QIs). Then asymptotic results
Research Statement  Aleksandrs Slivkins
"... ery incomplete. In the simplest setting, the data comes from a small number of random probes. The following central question emerges: how to make the best use of such data? Typically it is assumed that we can (at a higher cost) make more measurements, and we are interested in a tradeoff between the ..."
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the number of measurements and the accuracy of the resulting solution. In more complicated settings we may have more control over what measurements we actually make, which leads to another question: how to use this control intelligently given the data available so far? I explored these issues in several
ON CERTAIN BASKAKOVDURRMEYER TYPE OPERATORS
"... Abstract. This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness. 1 ..."
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Abstract. This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness. 1
ON THE qVARIANT OF INTEGRAL BASKAKOV OPERATORS
"... Copyright c © 2014 Gairola, Dobhal and Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we introduce a ..."
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a qvariant of integral Baskakov operator and study their approximation properties. We establish point wise and uniform convergence theorems in ordinary approximation. The rate of weighted approximation by means of Steklov functions in terms of a suitable modulus of smoothness is obtained.
GLOBAL APPROXIMATION BY MODIFIED BASKAKOV TYPE OPERATORS
"... In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called DitzianTotik modulus of smoothness. 1. ..."
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In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called DitzianTotik modulus of smoothness. 1.
APPROXIMATION BY qSZÁSZMIRAKYANBASKAKOV OPERATORS
, 2012
"... In the present paper we propose the q analogue of well known SzászMirakyanBaskakov operators (see e.g. [14], [7]). We apply qderivatives, and qBeta functions to obtain the moments of the qSzászMirakyanBaskakov operators. Here we estimate some direct approximation results for these operators ..."
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In the present paper we propose the q analogue of well known SzászMirakyanBaskakov operators (see e.g. [14], [7]). We apply qderivatives, and qBeta functions to obtain the moments of the qSzászMirakyanBaskakov operators. Here we estimate some direct approximation results
ON SIMULTANEOUS APPROXIMATION FOR CERTAIN BASKAKOV DURRMEYER TYPE OPERATORS
, 2006
"... ABSTRACT. In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish pointwise convergence, an asymptotic formula an error estimation and an inverse result in simultaneous approximation for these n ..."
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ABSTRACT. In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish pointwise convergence, an asymptotic formula an error estimation and an inverse result in simultaneous approximation
RATE OF CONVERGENCE FOR CERTAIN BASKAKOV DURRMEYER TYPE OPERATORS
"... Abstract. In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish rate of convergence for these operators for functions having derivatives of bounded variation. 1. ..."
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Abstract. In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish rate of convergence for these operators for functions having derivatives of bounded variation. 1.
Some approximation properties for modified Baskakov type operators
 Georgian Math. J
"... Abstract. We study some direct results for the recently introduced family of modified Baskakov type operators. In particular, we obtain local direct results on ordinary and simultaneous approximation and an estimation of error for linear combinations in terms of higher order modulus of continuity. W ..."
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Abstract. We study some direct results for the recently introduced family of modified Baskakov type operators. In particular, we obtain local direct results on ordinary and simultaneous approximation and an estimation of error for linear combinations in terms of higher order modulus of continuity
APPROXIMATION AND SHAPE PRESERVING PROPERTIES OF THE TRUNCATED BASKAKOV OPERATOR OF
"... Abstract. Starting fromthe study of the Shepard nonlinear operator of maxprod type in [2], [3], in the recent monograph [4], Open Problem 5.5.4, pp. 324326, the Baskakov maxprod type operator is introduced and the question of the approximation order by this operator is raised. The aim of this note ..."
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Abstract. Starting fromthe study of the Shepard nonlinear operator of maxprod type in [2], [3], in the recent monograph [4], Open Problem 5.5.4, pp. 324326, the Baskakov maxprod type operator is introduced and the question of the approximation order by this operator is raised. The aim
Results 1  10
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3,409