BLENDING TYPE APPROXIMATION BY BÉZIER-SUMMATION-INTEGRAL TYPE OPERATORS

In this note we construct the B€zier variant of summation integral type operators based on a non-negative real parameter. We present a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation. In the last section, we study the quantitative Voronovska ja type theorem

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  • Current address : Tuncer Acar: Kirikkale University, Faculty of Science and Arts, Department of Mathematics, Yahsihan, 71450, Kirikkale, Turkey
  • E-mail address : tunceracar@ymail.com ORCID Address: Current address : Arun Kajla: Department of Mathematics, Central University of Haryana, Haryana-123031, India
  • E-mail address : rachitkajla47@gmail.com ORCID Address: http://orcid.org/0000-0003-4273-4830