Uniform boundedness of Szász-Mirakjan-Kantorovich operators in Morrey spaces with variable exponents | Zendy

Yoshihiro Sawano | Zendy; Xinxin Tian | Zendy; Jingshi Xu | Zendy

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Uniform boundedness of Szász-Mirakjan-Kantorovich operators in Morrey spaces with variable exponents

Author(s) -

Yoshihiro Sawano,

Xinxin Tian,

Jingshi Xu

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2007109s

Subject(s) - mathematics , lp space , bounded function , operator (biology) , mathematical analysis , pure mathematics , operator theory , variable (mathematics) , exponent , maximal operator , banach space , biochemistry , chemistry , linguistics , philosophy , repressor , transcription factor , gene

The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators are shown to be controlled by the Hardy-Littlewood maximal operator. The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators turn out to be uniformly bounded in Lebesgue spaces and Morrey spaces with variable exponents when the integral exponent is global log-H?lder continuous.

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