Approximation by truncated Lupaş operators of max-product kind

Abstract

The goals of the present paper are to introduce truncated Lupaş type operators of max-product kind and give an estimation for the degree of approximation with respect to first modulus of continuity function. We prove that this estimate can not be improved; on the other hand, for some subclasses of functions, better degree of approximation is obtained. We also showed the piecewise convexity of the constructed operators on the interval [0,1].

Keywords

• Nonlinear max-product operators,
• Lupaş Operators
• the first modulus of continuity function
• the rate of convergence

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