On approximation properties of certain multidimensional nonlinear integrals

Volume 9, Issue 5, pp 3090--3097 http://dx.doi.org/10.22436/jnsa.009.05.100

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Authors

Sevgi Esen Almali - Faculty of Sciences and Art, Depatment of Mathematics, Kirikkale University, Kirikkale, Turkey. Akif D. Gadjiev - National Academy of Sciences of Azerbaijan, 9 F. Agaev Street, 1141, Baku, Azerbaijan.

Abstract

We prove theorems on convergence of multidimensional nonlinear integrals in Lebesgue points of generated function, and show that the main results are applicable to a wide class of exponentially nonlinear integral operators, which may be constructed by using well known positive kernels in approximation theory.

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Keywords

• Nonlinear integral operators
• positive kernels
• Lebesgue points
• approximation
• exponentially nonlinear integrals.

MSC

•  42A35
•  42A63

References

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