Stancu type q -Bernstein operators with shifted knots

[摘要] In the present paper, Stancu type generalizations of the q-analog of Lupaş Bernstein operators with shifted knots are introduced. Some approximation results and rate of convergence for these operators are investigated. A Voronovskaja type theorem and local approximation results for the mentioned operators are studied. The extra parameters γ, δ, q, a and b provide more flexibility for approximation.

[学科分类] 电力

[关键词] Lupaş q -Bernstein–Stancu shifted operators;Rate of convergence;Modulus of continuity;Voronovskaja type theorem;K -functional;Local approximation