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Approximation of functions from the class C ψ β , ∞ by Weierstrass integrals in a uniform metric
Kharkevich Yuriy 1 , Kalchuk Inna Volodymyrivna 2
1 Department of Function Theory and Mathematics Teaching Methods, Lesya Ukrainka Eastern European National University, Volyn, Lutsk, 43025, Ukraine
2 Department of Mathematical Analysis and Statistics, Lesya Ukrainka East European National University, Volyn, Lutsk, 43025, Ukraine
Keywords: functions, Weierstrass integrals
Abstract

We solved the Kolmogorov-Nikolsky problem on the class of (ψ,β)" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: 400; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: 0px; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgba(0, 0, 0, 0.87); font-family: "Noto Sans", -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;">-differentiable periodic functions at appreciation of Weierstrass integrals Wδ(f,x)" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: 400; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: 0px; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgba(0, 0, 0, 0.87); font-family: "Noto Sans", -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;"> іп uniform metric.

Cite
ACS Style
Kharkevich, Y.; Kalchuk, I.V. Approximation of functions from the class C ψ β , ∞ by Weierstrass integrals in a uniform metric. Bukovinian Mathematical Journal. 2018, 2
AMA Style
Kharkevich Y, Kalchuk IV. Approximation of functions from the class C ψ β , ∞ by Weierstrass integrals in a uniform metric. Bukovinian Mathematical Journal. 2018; 2(2-3).
Chicago/Turabian Style
Yuriy Kharkevich, Inna Volodymyrivna Kalchuk. 2018. "Approximation of functions from the class C ψ β , ∞ by Weierstrass integrals in a uniform metric". Bukovinian Mathematical Journal. 2 no. 2-3.
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