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  • Hacettepe Journal of Mathematics and Statistics
  • Volume:47 Issue:4
  • On multivariate Lupaş operators

On multivariate Lupaş operators

Authors : Murat BODUR, Fatma TAŞDELEN, Gülen BAŞCANBAZTUNCA
Pages : 783-792
View : 28 | Download : 11
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

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