Szasz and Phillips Operators Based on q-Integers

Havva Kaffaoğlu

DoctorateOpen Access

Szasz and Phillips Operators Based on q-Integers

2011

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Abstract (EN)

ABSTRACT: In this thesis, q-Szász-Durrmeyer (0 < q < 1) and q-Phillips (q > 0) operators are defined and some properties of these operators are studied. More precisely, local approximation results for continuous functions in terms of modulus of continuity are proved and Voronovskaja type asymptotic results are investigated. Keywords: q-Szász-Durrmeyer operators, k-functional, modulus of continuity, qcalculus, q-Phillips operators, q-integers, q-gamma functions, rate of convergence, qintegral. ……………………………………………………………………………………………………………………………………………………………………………………………………………………

Author

Dr. Havva Kaffaoğlu

Institution

Eastern Mediterranean University

Faculty of Arts and Sciences

Department of Mathematics

How to Cite

Havva Kaffaoğlu (Doctorate thesis). Szasz and Phillips Operators Based on q-Integers, 2011, Eastern Mediterranean University, Department of Mathematics.

Keywords

Applied Mathematics and Computer Science Durrmeyer Operators K-Functional Modulus of Continuity Q-Calculus Q-Gamma Functions Q-Integers Q-Integral Q-Phillips Operators Q-Szasz Rate of Convergence

License

CC BY 4.0

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