Diagonalizable Generalized Abel Integral Operators
نویسندگان
چکیده
منابع مشابه
Diagonalizable Generalized Abel Integral
We find a large class of integral operators which allow a systematic and explicit diagonalization. These operators generalize Abel’s integral operator, for which such a diagonalization has recently been found.
متن کاملAn Analytic Algorithm for Generalized Abel Integral Equation
In this paper, a homotopy perturbation method (HPM) and modified homotopy perturbation (MHPM) are proposed to solve singular integral equation with generalized Abel's kernel.
متن کاملOn Resolvent Estimates for Abel Integral Operators and the Regularization of Associated First Kind Integral Equations
In this paper resolvent estimates for Abel integral operators are provided. These estimates are applied to deduce regularizing properties of Lavrentiev's m-times iterated method as well as iterative schemes ? with the discrepancy principle as corresponding parameter choice or stopping rule, respectively for solving the corresponding Abel integral equations of the rst kind.
متن کاملApproximation Degree for Generalized Integral Operators
Very recently Jain et al. [4] proposed generalized integrated Baskakov operators Vn,α(f, x), α > 0 and estimated some approximation properties in simultaneous approximation. In the present paper we establish the rate of convergence of these operators and its Bezier variant, for functions which have derivatives of bounded variation.
متن کاملGeneralized interval-valued intuitionistic fuzzy Hamacher generalized Shapley Choquet integral operators for multicriteria decision making
The interval-valued intuitionistic fuzzy set (IVIFS) which is an extension of the Atanassov’s intuitionistic fuzzy set is a powerful tool for modeling real life decision making problems. In this paper, we propose the emph{generalized interval-valued intuitionistic fuzzy Hamacher generalized Shapley Choquet integral} (GIVIFHGSCI) and the emph{interval-valued intuitionistic fuzzy Hamacher general...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 1997
ISSN: 0036-1399,1095-712X
DOI: 10.1137/s0036139995279676