On pointwise convergence of a family of nonlinear integral operators
Küçük Resim Yok
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer New York LLC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let ? be a non-empty index set consisting of ? indices and ?0 is allowed to be either accumulation point of ? or infinity. We assume that the function K?, K?: R× R? R, has finite Lebesgue integral value on R for all values of its second variable and for any ? (Formula Presented) ? and satisfies some conditions. The main purpose of this work is to investigate the conditions under which Fatou type pointwise convergence is obtained for the operators in the following setting: (Formula Presented), where Pk,? and ?k, ? are real numbers satisfying certain conditions, at p- ? -Lebesgue point of function f. The obtained results are used for presenting some theorems for the rate of convergences. © Springer Nature Singapore Pte Ltd 2019.
Açıklama
International Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2018 -- 6 July 2018 through 8 July 2018 -- Jaipur -- 231359
Anahtar Kelimeler
Lipschitz condition, Nonlinear integral operator, p- ? -Lebesgue point, Rate of convergence, Unified approach
Kaynak
Springer Proceedings in Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
272
