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Approximation by kantorovich type operators

Authors: Kara, Mustafa;

Approximation by kantorovich type operators

Abstract

In this thesis, new type q-Bernstein - Kantorovich polynomials and complex q-Szász-Kantorovich operators are introduced. In additon, The exact order of approximation, quantitative Voronovskaja-type theorems, simultaneous approximation properties for complex q-Bernstein - Kantorovich polynomials , complex Szász-Kantorovich and complex q-Szász- Kantorovich operators are studied. ÖZET: Bu tezde, yeni tip karmaşık q-Bernstein - polinomları ve karmaşık q- Szasz-Kantorovich operatörleri tanımlanmıştır. Buna ek olarak, karmaşık q- Bernstein-Kantorovich polinomlarının , karmaşık Szász-Kantorovich operatörünün ve karmaşık q-Szász-Kantorovich operatörünün yakınsaklık oranları, yakınsaklık özellikleri ve Voronovskaja tipi teoremler incelenmiştir. Doctor of Philosophy in Mathematics. Thesis (Ph.D.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2013. Supervisor: Prof. Dr. Nazim Mahmudov.

Keywords

Q-Bernstein Kantorovich Polynomials, Mathematical Operators, Mathematics, Q-Szasz Kantorovich Operator, Complex Szasz Kantorovich Operator

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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