A Generalization of Sz$\acute{a}$sz-Baskakov Operators Including Euler Polynomials

Abstract

In this paper, we generalize the Sz$\acute{a}$sz-Baskakov operators using  Euler polynomials. First, we obtain the rate of convergence for our new operators, followed by some approximation findings. Finally, Voronovskaya's theorem and error table are presented.

Keywords

• Bernstein-Kantorovich operators
• Peetre-$\mathcal{K}$ functional
• modulus of continuity
• Lipschitz class

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