On Convergence of Bernstein – Kantorovich Operators sequence in Variable Exponent Lebesgue Spaces

Shakh-Emirov, Tadgidin

doi:10.18500/1816-9791-2016-16-3-322-330

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2019

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“…variable exponent in our article are simplified according to conditions of p(.) variable exponent which using in [17], [19].…”

Section: Introductionmentioning

confidence: 99%

Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

Ayazoglu

Akbulut

Akkoyunlu

2019

Filomat

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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.

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“…variable exponent in our article are simplified according to conditions of p(.) variable exponent which using in [17], [19].…”

Section: Introductionmentioning

confidence: 99%

Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

Ayazoglu

Akbulut

Akkoyunlu

2019

Filomat

View full text Add to dashboard Cite

show abstract

On Convergence of Bernstein – Kantorovich Operators sequence in Variable Exponent Lebesgue Spaces

Cited by 1 publication

References 0 publications

Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

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