The present article deals with the general family of summationintegral type operators. Here, we p... more The present article deals with the general family of summationintegral type operators. Here, we propose the Durrmeyer variant of the generalized Lupaş operators considered by Abel and Ivan (General Math. 15 (1) (2007) 21-34) and study local approximation, Voronovskaja type formula, global approximation, Lipchitz type space and weighted approximation results. Also, we discuss the rate of convergence for absolutely continuous functions having a derivative equivalent with a function of bounded variation. ncx (ncx) k k!(1 + c) k , and the Pochhammer symbol (u) k is defined as (u) k = u(u+1)(u+2) • • • (u+k−1). It was seen that the operators L c n reproduce the linear functions. Note that the operators L c n are well-defined for all sufficiently large n, for n > A log(1+c) , the infinite sum in (1.1) is convergent, provided that
In the present paper, we deal with the complex Szász-Durrmeyer operators and study Voronovskaja t... more In the present paper, we deal with the complex Szász-Durrmeyer operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth on compact disks. Also, the exact order of approximation is found.
In the present article we discuss approximation properties of genuine Lupaş-Beta operators of int... more In the present article we discuss approximation properties of genuine Lupaş-Beta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators.
In the present paper, we propose a modification of the integrated Szász-Mirakyan operators having... more In the present paper, we propose a modification of the integrated Szász-Mirakyan operators having the weight function of general Beta basis function. We study some direct results on the modified operators. It is also observed that our modified operators have better estimates over the original operators.
In the present work we define the Bézier variant of the generalized Balazs-Kantorovich operators.... more In the present work we define the Bézier variant of the generalized Balazs-Kantorovich operators. The special cases of our operators reduce to some well known operators. We establish the rate of convergence for functions of bounded variation for the generalized operators.
The present paper deals with the study of the rate of convergence of the Bézier variant of certai... more The present paper deals with the study of the rate of convergence of the Bézier variant of certain Bernstein Durrmeyer type operators in simultaneous approximation.
The present article deals with the general family of summationintegral type operators. Here, we p... more The present article deals with the general family of summationintegral type operators. Here, we propose the Durrmeyer variant of the generalized Lupaş operators considered by Abel and Ivan (General Math. 15 (1) (2007) 21-34) and study local approximation, Voronovskaja type formula, global approximation, Lipchitz type space and weighted approximation results. Also, we discuss the rate of convergence for absolutely continuous functions having a derivative equivalent with a function of bounded variation. ncx (ncx) k k!(1 + c) k , and the Pochhammer symbol (u) k is defined as (u) k = u(u+1)(u+2) • • • (u+k−1). It was seen that the operators L c n reproduce the linear functions. Note that the operators L c n are well-defined for all sufficiently large n, for n > A log(1+c) , the infinite sum in (1.1) is convergent, provided that
In the present paper, we deal with the complex Szász-Durrmeyer operators and study Voronovskaja t... more In the present paper, we deal with the complex Szász-Durrmeyer operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth on compact disks. Also, the exact order of approximation is found.
In the present article we discuss approximation properties of genuine Lupaş-Beta operators of int... more In the present article we discuss approximation properties of genuine Lupaş-Beta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators.
In the present paper, we propose a modification of the integrated Szász-Mirakyan operators having... more In the present paper, we propose a modification of the integrated Szász-Mirakyan operators having the weight function of general Beta basis function. We study some direct results on the modified operators. It is also observed that our modified operators have better estimates over the original operators.
In the present work we define the Bézier variant of the generalized Balazs-Kantorovich operators.... more In the present work we define the Bézier variant of the generalized Balazs-Kantorovich operators. The special cases of our operators reduce to some well known operators. We establish the rate of convergence for functions of bounded variation for the generalized operators.
The present paper deals with the study of the rate of convergence of the Bézier variant of certai... more The present paper deals with the study of the rate of convergence of the Bézier variant of certain Bernstein Durrmeyer type operators in simultaneous approximation.
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