<p>A new analogue of the nonlinear Lupaş type Bernstein operators using max-product algebra and <i>q</i>-integers, which possess the endpoint interpolation property, is constructed. Quasi-convexity, monotonicity, and shape-preserving properties are studied. The graphs have also been added to support the theoretical results.</p>

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Approximation and shape preserving properties by nonlinear Lupaş type Bernstein operators of max-product kind

  • Mohd Shanawaz Mansoori,
  • Asif Khan,
  • Khursheed J. Ansari

摘要

A new analogue of the nonlinear Lupaş type Bernstein operators using max-product algebra and q-integers, which possess the endpoint interpolation property, is constructed. Quasi-convexity, monotonicity, and shape-preserving properties are studied. The graphs have also been added to support the theoretical results.