Titlebook: Applications of q-Calculus in Operator Theory; Ali Aral,Vijay Gupta,Ravi P Agarwal Book 2013 Springer Science+Business Media New York 2013

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https://doi.org/10.1007/978-981-13-0523-8In the recent years applications of .-calculus in the area of approximation theory and number theory are an active area of research. Several researchers have proposed the .-analogue of exponential, Kantorovich- and Durrmeyer-type operators. Also Kim [106] and [105] used .-calculus in the area of number theory.

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Statistical Convergence of ,-Operators,One of the most recently studied subject in approximation theory is the approximation of function by linear positive operators using .-statistical convergence or a matrix summability method.

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,-Complex Operators,In the recent years applications of .-calculus in the area of approximation theory and number theory are an active area of research. Several researchers have proposed the .-analogue of exponential, Kantorovich- and Durrmeyer-type operators. Also Kim [106] and [105] used .-calculus in the area of number theory.

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,-Discrete Operators and Their Results,omials, .-Szász–Mirakyan operators, .-Baskakov operators, and .-Bleimann, Butzer, and Hahn operators. Here, we present moment estimation, convergence behavior, and shape-preserving properties of these discrete operators.

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, ,-Summation–Integral Operators, introduced Durrmeyer-type modification of .-Baskakov operators. These operators, opposed to Bernstein–Durrmeyer operators, are defined to approximate a function . on .. The Durrmeyer-type modification of the .-Bernstein operators was first introduced in [48].

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Ali Aral,Vijay Gupta,Ravi P AgarwalThe first book on q-calculus in approximation theory.Provides a good resource for researchers and teachers.Features many applications of q calculus in the theory of approximation.Includes supplementar

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