Approximation by Riemann–Liouville type fractional α$$ \alpha $$‐Bernstein–Kantorovich operators
Sahil Berwal, S. A. Mohiuddine, Arun Kajla, Abdullah Alotaibi
Abstract
In this research paper, we construct a new sequence of Riemann–Liouville type fractional ‐Bernstein–Kantorovich operators. We prove a Korovkin type approximation theorem and discuss the rate of convergence with the first order modulus of continuity of these operators. Further, we study Voronovskaja type theorem, quantitative Voronovskaya type theorem, Chebyshev–Grüss inequality and Grüss–Voronovskaya type theorem.
Topics & Concepts
MathematicsType (biology)Modulus of continuityOrder (exchange)Chebyshev filterSequence (biology)Mathematical analysisPure mathematicsFinanceEconomicsBiologyGeneticsEcologyApproximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsMathematical functions and polynomials