İntegral Operatör Aileleri ile Genelleştirilmiş Taylor Türevlerine Yaklaşım

Öz

Yaklaşımlar teorisi, diferansiyel ve integral denklemlerin nümerik çözümlerinde, fonksiyonel analizin çeşitli bölgelerindeki uygulamalarda, Fourier analizde, uygulamalı matematik alanında, operatör teoride, genelleştirilmiş türevler alanında ve polinomsal yaklaşımın uygulamalarında vs. çok önemli bir yere sahiptir. Bu çalışma n L pozitif lineer operatör dizileri vasıtası ile bir f fonksiyonuna yaklaşımın araştırılması problemidir. Yaklaşımlar teorisi, çalışma alanı için iyi kurulmuş bir teoridir. Bu teori matematik dünyası için çok önemli bir yere sahiptir. Günümüzde birçok matematikçi yaklaşımlar teorisi alanında çalışmaktadır.  

Anahtar Kelimeler

• Taylor türev,Çekirdek fonksiyonu,Türevlenebilir fonksiyon

Approximation To Generalized Taylor Derivatives By Integral Operator Families

Öz

This theory has important applications of polynomial approximation in various areas of functional analysis, Fourier analysis, application mathematic, operator theory, in the field generalized derivatives and numerical solutions of differential and integral equations, etc. The study of approximation theory is a well-established area of research which deals with the problem of approximating a function f by means of a sequence n L of positive linear operators. This theory is very important for mathematical world. Nowadays, many mathematicians are working in this field.

Anahtar Kelimeler

• Taylor derivative,Kernel function,Differentiable function

Kaynakça

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7. functions By Derivatives of Families of Linear Operators.Izvestiya Acad. of Sci. of
8. Azebaijan , 6:15-24.

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11. Families.”, Harran University, Institute of Science, Master Thesis, Sanliurfa, 55p.
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18. Functions, Princeton Univ. Pres., 289pp, The United States of America.
19. Referans10. Zeren, Y., 2006. Approximation of Schwartz Differentiable Functions of
20. Several Variables By The Sequence of Integral Operators. Khazar Journal of mathematics, 1: 73-78.
21. Referans11. Zeren, Y., 2002. “Asymptotic Value of Approximation of Derivatives Approximated
22. by Integral Operator Family.”, Ankara University, Institute of Science, Ph.D. Tesis
23. Ankara, 50p.