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PURE MATHEMATICS | RESEARCH ARTICLE A generalization of Szász-type operators which preserves constant and quadratic test functions

Abdul Wafi, Nadeem Rao

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Abstract

1 * Abstract: In the present article, we introduced a new form of Szasz-type operators which preserves test functions e 0 and e 2 (e i (t )= t i , i = 0,2). By these sequence of positive linear operators, we gave rate of convergence and better error estimation by means of modulus of continuity. Moreover, we have discussed order of approxi- mation with the help of local results. In the last, weighted Korovkin theorem is established.

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What this paper is about

1 * Abstract: In the present article, we introduced a new form of Szasz-type operators which preserves test functions e 0 and e 2 (e i (t )= t i , i = 0,2). By these sequence of positive linear operators, we gave rate of convergence and better error estimation by means of modulus of continuity. Moreover, we have discussed order of approxi- mation with the help of local results. In the last, weighted Korovkin theorem is established.

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Available abstract

1 * Abstract: In the present article, we introduced a new form of Szasz-type operators which preserves test functions e 0 and e 2 (e i (t )= t i , i = 0,2). By these sequence of positive linear operators, we gave rate of convergence and better error estimation by means of modulus of continuity. Moreover, we have discussed order of approxi- mation with the help of local results. In the last, weighted Korovkin theorem is established.

Key concepts: Mathematics, Generalization, Modulus of continuity, Type (biology), Constant (computer programming), Sequence (biology), Quadratic equation, Convergence (economics)

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PURE MATHEMATICS | RESEARCH ARTICLE A generalization of Szász-type operators which preserves constant and quadratic test functions — Research Paper | ScholarLens