Geodesic
Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces
Filomat, Tome 33 (2019) no. 18, p. 5755

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DOI

In this paper, the Kantorovich operators K n , n ∈ N are shown to be uniformly bounded in variable exponent Lebesgue spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference K n (f) − f for functions f of regularity of order 1 and 2 measured in variable exponent Lebesgue spaces, which is of interest on its own and can be applied to other problems related to the Kantorovich operators
DOI : 10.2298/FIL1918755A
Classification : 41A10, 41A25, 46E30, 46E35
Keywords: Variable exponent Lebesgue spaces, Kantorovich operators, uniform boundedness 
Rabil Ayazoglu ; Mashiyev; Sezgin Akbulut; Ebubekir Akkoyunlu. Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces. Filomat, Tome 33 (2019) no. 18, p. 5755 . doi: 10.2298/FIL1918755A
@article{10_2298_FIL1918755A,
     author = {Rabil Ayazoglu  and Mashiyev and Sezgin Akbulut and Ebubekir Akkoyunlu},
     title = {Uniform boundedness of {Kantorovich} operators in variable exponent {Lebesgue} spaces},
     journal = {Filomat},
     pages = {5755 },
     year = {2019},
     volume = {33},
     number = {18},
     doi = {10.2298/FIL1918755A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918755A/}
}
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%J Filomat
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