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Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems. / Aki̇shev, Gabdolla; Persson, Lars; Si̇ngh, Harpal.
In: Constructive Mathematical Analysis, Vol. 4, No. 3, 2023, p. 291-304.

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

Harvard

Aki̇shev, G, Persson, L & Si̇ngh, H 2023, 'Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems', Constructive Mathematical Analysis, vol. 4, no. 3, pp. 291-304. https://doi.org/10.33205/cma.910173

APA

Aki̇shev, G., Persson, L., & Si̇ngh, H. (2023). Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems. Constructive Mathematical Analysis, 4(3), 291-304. https://doi.org/10.33205/cma.910173

Vancouver

Aki̇shev G, Persson L, Si̇ngh H. Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems. Constructive Mathematical Analysis. 2023;4(3):291-304. doi: 10.33205/cma.910173

Author

Aki̇shev, Gabdolla ; Persson, Lars ; Si̇ngh, Harpal. / Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems. In: Constructive Mathematical Analysis. 2023 ; Vol. 4, No. 3. pp. 291-304.

BibTeX

@article{6777fbeb4691499fb50f45a25d414dc6,
title = "Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems",
abstract = "We consider the generalized Lorentz space Lψ, q defined via a continuous and concave function ψ and the Fourier series of a function with respect to an unbounded orthonormal system. Some new Fourier and Jackson-Nikol'skii type inequalities in this frame are stated, proved and discussed. In particular, the derived results generalize and unify several well-known results but also some new applications are pointed out. {\textcopyright} 2021 The Author(s).",
author = "Gabdolla Ak{\.i}shev and Lars Persson and Harpal S{\.i}ngh",
year = "2023",
doi = "10.33205/cma.910173",
language = "English",
volume = "4",
pages = "291--304",
journal = "Constructive Mathematical Analysis",
issn = "2651-2939",
publisher = "Tuncer ACAR",
number = "3",

}

RIS

TY - JOUR

T1 - Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems

AU - Aki̇shev, Gabdolla

AU - Persson, Lars

AU - Si̇ngh, Harpal

PY - 2023

Y1 - 2023

N2 - We consider the generalized Lorentz space Lψ, q defined via a continuous and concave function ψ and the Fourier series of a function with respect to an unbounded orthonormal system. Some new Fourier and Jackson-Nikol'skii type inequalities in this frame are stated, proved and discussed. In particular, the derived results generalize and unify several well-known results but also some new applications are pointed out. © 2021 The Author(s).

AB - We consider the generalized Lorentz space Lψ, q defined via a continuous and concave function ψ and the Fourier series of a function with respect to an unbounded orthonormal system. Some new Fourier and Jackson-Nikol'skii type inequalities in this frame are stated, proved and discussed. In particular, the derived results generalize and unify several well-known results but also some new applications are pointed out. © 2021 The Author(s).

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85164378713

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001114489900003

U2 - 10.33205/cma.910173

DO - 10.33205/cma.910173

M3 - Article

VL - 4

SP - 291

EP - 304

JO - Constructive Mathematical Analysis

JF - Constructive Mathematical Analysis

SN - 2651-2939

IS - 3

ER -

ID: 41995961