On convergence of convolution type singular integral operators depending on two parameters

• Autorzy: Karlsi H. , Ibikli E.
• Języki publikacji: EN

Abstrakty

EN

Convolution type singular integral operators depending on two parameters are considered here of the form

Słowa kluczowe

EN

approximation; convolution type singular integral operators; Lebesgue point; generalized Lebesgue point

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2007
• Tom: Nr 38
• Strony: 25--39
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Karlsi H.

autor

Ibikli E.

• Department of Mathematics, Ankara University, Faculty of Sciences, 06100 Tandogan-Ankara/Turkey,

Bibliografia

• [1] GADJIEV A.D., On the order of convergence of singular integrals depending on two parameters, Special questions of functional analysis and its applications to the theory of differential equations and functions theory, Baku, (1968), 40-44.
• [2] TABERSKI R., Singular integrals depending on two parameters, Rocznicki Polskiego towarzystwa matematycznego, Seria I, Prace matematyczne, VII, 1962, 173-179.
• [3] RYDZEWSKA B., Approximation of functions by ordinary singular integrals, Fasciculi Mathematici, 7(1973), 71-81.
• [4] AvRAMIDOU P., Convolution operators induced by approximate identities and pointwise convergence in Lp(R) spaces, Proc. Amer. Math. Soc., 133(2005), 175-184.
• [5] BUTZER P.L., NESSEL R.J., Fourier Analysis and Approximation, Academic Press, New York, London, 1971.
• [6] NATANSON I.P., Theory of Functions of a Real Variable, Vol. I-II, Translated from Russian Leo F. Boron, Frederick Ungar Pub., New York, 1961.
• [7] BARDARO C., MUSIELAK J., VINTI G., Nonlinear Integral Operators and Applications, De Gruyter Series in Nonlinear Analysis and Applications, Vol. 9, xii + 201 pp., 2003.