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The purpose of this paper is to introduce Stancu variant of generalized Lupaş operators whose construction depends on a continuously differentiable, increasing and unbounded function ρ. Depending on the selection of γ and δ, these operators are more Ćexible than the generalized Lupaş operators while retaining their approximation properties. For these operators we give weighted approximation, Voronovskaya type theorem, quantitative estimates for the local approximation. Finally, we investigate the statistical approximation property of the new operators with the aid of a Korovkin type statistical approximation theorem. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce a Stancu type generalization of the Lupa¸s operators based on the q-integers. We investigate the rate of convergence of operators by mean of modulus of continuity and functions belonging to the Lipschitz class as well as Peetre’s K-functional. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce a new modification of Lupas operators in the frame of post quantum setting and to investigate their approximation properties. First using the relations between q-calculus and post quantum calculus, the post quantum analogue of operators constructed will be linear and positive but will not follow Korovkin's theorem. Hence a new modification of q-Lupas operators is constructed which will preserve test functions. Based on these modification of operators, approximation properties have been investigated. Further, the rate of convergence of operators by mean of modulus of continuity and functions belonging to the Lipschitz class as well as Peetre's K-functional are studied. [ABSTRACT FROM AUTHOR]