Some properties of the operators defined by Lupaș

Abstract

In the present paper, we show that a subclass of the operators defined by Lupaș [12] preserve properties of the modulus of continuity function and Lipschitz constant and the order of a Lipschitz continuous function. We are also concerned with the monotonicity of a sequence of such operators for convex functions.

Keywords

• orthogonal polynomials
• spectral method
• error estimate
• condition number
• programming
• Lupas operator