On multivariate Lupaş operators

Authors : Murat BODUR, Fatma TAŞDELEN, Gülen BAŞCANBAZ-TUNCA

Pages : 783-792

View : 20 | Download : 7

Publication Date : 2018-08-01

Article Type : Research Paper

Abstract :This paper is primarily concerned with multivariate Lupaş operator. We demonstrate that multivariate Lupaş operator preserves the properties of the general function of modulus of continuity, Lipschitz`s constant and order of a Lipschitz continuous function. Moreover, we obtain monotonicity of the multivariate Lupaş operator under the condition that the original function is convex. Lastly, two modified extensions are constructed.
Keywords : Lupaş operator, convexity, Lipschitz continuity, function of modulus of continuity, monotonic convergence