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Two-Sided Estimates for Some Functionals in Terms of the Best Approximations. / Babushkin, M. V. ; Zhuk, V. V. .

In: Journal of Mathematical Sciences, Vol. 225, No. 6, 09.2017, p. 848-858.

Research output: Contribution to journal › Article › peer-review

Harvard

Babushkin, MV & Zhuk, VV 2017, 'Two-Sided Estimates for Some Functionals in Terms of the Best Approximations', Journal of Mathematical Sciences, vol. 225, no. 6, pp. 848-858. https://doi.org/10.1007/s10958-017-3501-6

APA

Babushkin, M. V., & Zhuk, V. V. (2017). Two-Sided Estimates for Some Functionals in Terms of the Best Approximations. Journal of Mathematical Sciences, 225(6), 848-858. https://doi.org/10.1007/s10958-017-3501-6

Vancouver

Babushkin MV, Zhuk VV. Two-Sided Estimates for Some Functionals in Terms of the Best Approximations. Journal of Mathematical Sciences. 2017 Sep;225(6):848-858. https://doi.org/10.1007/s10958-017-3501-6

Author

Babushkin, M. V. ; Zhuk, V. V. . / Two-Sided Estimates for Some Functionals in Terms of the Best Approximations. In: Journal of Mathematical Sciences. 2017 ; Vol. 225, No. 6. pp. 848-858.

BibTeX

@article{59c563febd104235814d62777295c6a4,
title = "Two-Sided Estimates for Some Functionals in Terms of the Best Approximations",
abstract = "Let C be the space of continuous 2π-periodic functions. For some integrals of the form ∫π0ωr(f,t)Φ(t)dt, where ω r (f, t) is the modulus of continuity of order r of a function f in C, two-sided bounds in terms of the best approximations by trigonometric polynomials are established.",
author = "Babushkin, {M. V.} and Zhuk, {V. V.}",
note = "Babushkin, M.V., Zhuk, V.V. Two-Sided Estimates for Some Functionals in Terms of the Best Approximations. J Math Sci 225, 848–858 (2017). https://doi.org/10.1007/s10958-017-3501-6",
year = "2017",
month = sep,
doi = "10.1007/s10958-017-3501-6",
language = "English",
volume = "225",
pages = "848--858",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Two-Sided Estimates for Some Functionals in Terms of the Best Approximations

AU - Babushkin, M. V.

AU - Zhuk, V. V.

N1 - Babushkin, M.V., Zhuk, V.V. Two-Sided Estimates for Some Functionals in Terms of the Best Approximations. J Math Sci 225, 848–858 (2017). https://doi.org/10.1007/s10958-017-3501-6

PY - 2017/9

Y1 - 2017/9

N2 - Let C be the space of continuous 2π-periodic functions. For some integrals of the form ∫π0ωr(f,t)Φ(t)dt, where ω r (f, t) is the modulus of continuity of order r of a function f in C, two-sided bounds in terms of the best approximations by trigonometric polynomials are established.

AB - Let C be the space of continuous 2π-periodic functions. For some integrals of the form ∫π0ωr(f,t)Φ(t)dt, where ω r (f, t) is the modulus of continuity of order r of a function f in C, two-sided bounds in terms of the best approximations by trigonometric polynomials are established.

U2 - 10.1007/s10958-017-3501-6

DO - 10.1007/s10958-017-3501-6

M3 - Article

VL - 225

SP - 848

EP - 858

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 9216366