Approximation properties by Schurer type q-Kantorovich–Stancu shifted knots operators
Copyright policy )Approximation properties by Schurer type q-Kantorovich–Stancu shifted knots operators
Abstract We design the Schurer type Kantorovich–Stancu operators by using shifted knots in the quantum calculus. We obtain the convergence and other related approximation properties of these operators. We discuss the degree of convergence of our operators by applying the modulus of continuity. In addition, we give some basic direct theorems and obtain the approximation in Lipschitz spaces.
- King Abdulaziz University
- Faculty of Sciences Serbia
- King Abdulaziz University Saudi Arabia
Peetre’s K-functional, Lipschitz spaces, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, \(q\)-integers, Approximation by positive operators, Peetre's \(K\)-functional, Rate of convergence, degree of approximation, q-integers, Modulus of continuity, Korovkin's theorem, modulus of continuity, QA1-939, Kantorovich operators, Stancu operators, Mathematics
Peetre’s K-functional, Lipschitz spaces, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, \(q\)-integers, Approximation by positive operators, Peetre's \(K\)-functional, Rate of convergence, degree of approximation, q-integers, Modulus of continuity, Korovkin's theorem, modulus of continuity, QA1-939, Kantorovich operators, Stancu operators, Mathematics
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