New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series | Zendy

Snezhana Gocheva-Ilieva | Zendy; Ivan H. Feschiev | Zendy

Open Access

New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series

Author(s) -

Snezhana Gocheva-Ilieva,

Ivan H. Feschiev

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/523618

Subject(s) - mathematics , recursion (computer science) , series (stratigraphy) , fourier series , constant (computer programming) , mathematical analysis , order of integration (calculus) , algorithm , paleontology , computer science , biology , programming language

There are obtained integral form and recurrence representations for some Fourier series and connected with them Favard constants. The method is based on preliminary integration of Fourier series which permits to establish general recursion formulas for Favard constants. This gives the opportunity for effective summation of infinite series and calculation of some classes of multiple singular integrals by the Favard constants

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