Approximation by kantorovich type operators
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Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)
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info:eu-repo/semantics/openAccess
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.
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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
Mathematics, Mathematical Operators, Q-Bernstein Kantorovich Polynomials, Q-Szasz Kantorovich Operator, Complex Szasz Kantorovich Operator, Q-Szasz Kantorovich Operator
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Kara, Mustafa. (2013). Approximation by kantorovich type operators. Thesis (Ph.D.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.
