Approximation of Functions of the Classes <mml:semantics>Cβψ<mml:msup>Hα</mml:msup></mml:semantics> by Linear Methods Summation of Their Fourier Series

被引：0
|
作者：
Kharkevych, Yurii [1 ]
Kal'chuk, Inna [1 ]
机构：
[1] Lesya Ukrainka Volyn Natl Univ, Fac Informat Technol & Math, UA-43025 Lutsk, Ukraine
来源：
AXIOMS | 2023年 / 12卷 / 11期
关键词：
classes of (psi; beta)-differentiable functions; Fourier series; lambda-methods summation; asymptotic equality; uniform metric; ABEL-POISSON INTEGRALS;
D O I：
10.3390/axioms12111010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we considered arbitrary linear summation methods of Fourier series specified by a set of continuous functions dependent on the real parameter and established their approximation properties. We obtained asymptotic formulas for the exact upper bounds of the deviations of operators generated by lambda-methods of Fourier series summation from the functions of the classes C beta psi H alpha under certain restrictions on the functions psi.
引用
收藏
页数：14
相关论文
共 32 条
  • [1] On the Covering Radius of Codes over <mml:semantics>Z<mml:msup>pk</mml:msup></mml:semantics>
    Cruz, Mohan
    Durairajan, Chinnapillai
    Sole, Patrick
    [J]. MATHEMATICS, 2020, 8 (03)
  • [2] <mml:semantics><mml:msup>D*</mml:msup></mml:semantics> Polarization as an Additional Constraint on New Physics in the b → cτ<mml:semantics>ν<mml:mo stretchy="false"><overbar></mml:mover></mml:semantics>τ Transition
    Ivanov, Mikhail A.
    Koerner, Juergen G.
    Santorelli, Pietro
    Tran, Chien-Thang
    [J]. PARTICLES, 2020, 3 (01) : 193 - 207
  • [3] Measurement of exclusive <mml:msup>π+</mml:msup><mml:msup>π-</mml:msup> and <mml:msup>ρ0</mml:msup> meson photoproduction at HERA: H1 Collaboration
    Andreev, V.
    Baty, A.
    Baghdasaryan, A.
    Begzsuren, K.
    Belousov, A.
    Bolz, A.
    Boudry, V
    Brandt, G.
    Britzger, D.
    Buniatyan, A.
    Bystritskaya, L.
    Campbell, A. J.
    Avila, K. B. Cantun
    Cerny, K.
    Chekelian, V
    Chen, Z.
    Contreras, J. G.
    Cvach, J.
    Dainton, J. B.
    Daum, K.
    Deshpande, A.
    Diaconu, C.
    Eckerlin, G.
    Egli, S.
    Elsen, E.
    Favart, L.
    Fedotov, A.
    Feltesse, J.
    Fleischer, M.
    Fomenko, A.
    Gal, C.
    Gayler, J.
    Goerlich, L.
    Gogitidze, N.
    Gouzevitch, M.
    Grab, C.
    Grebenyuk, A.
    Greenshaw, T.
    Grindhammer, G.
    Haidt, D.
    Henderson, R. C. W.
    Hladky, J.
    Hoffmann, D.
    Horisberger, R.
    Hreus, T.
    Huber, F.
    Jacquet, M.
    Janssen, X.
    Jung, A. W.
    Jung, H.
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (12):
  • [4] Coupled channel analysis of p<overbar></mml:mover>p<mml:mspace width="0.166667em"></mml:mspace>→<mml:mspace width="0.166667em"></mml:mspace><mml:msup>π0</mml:msup><mml:msup>π0</mml:msup>η, <mml:msup>π0</mml:msup>ηη and <mml:msup>K+</mml:msup><mml:msup>K<mml:mo>-</mml:msup><mml:msup>π0</mml:msup> at 900 MeV/c and of ππ-scattering data: The Crystal Barrel Collaboration
    Albrecht, M.
    Amsler, C.
    Duennweber, W.
    Faessler, M. A.
    Heinsius, F. H.
    Koch, H.
    Kopf, B.
    Kurilla, U.
    Meyer, C. A.
    Peters, K.
    Pychy, J.
    Qin, X.
    Steinke, M.
    Wiedner, U.
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (05):
  • [5] Canonical interpretations of the newly observed Ξc<mml:msup>(2923)0</mml:msup>, Ξc<mml:msup>(2939)0</mml:msup>, and Ξc<mml:msup>(2965)0</mml:msup> resonances
    Lu, Qi-Fang
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (10):
  • [6] Fingerprinting the contribution of colored scalars to the <mml:msup>H+</mml:msup><mml:msup>W-</mml:msup>Z(γ) vertex
    Chakrabarty, Nabarun
    Chakraborty, Indrani
    Ghosh, Dilip Kumar
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (12):
  • [7] The Range of Rademacher Series in <mml:msup>Rd</mml:msup>
    Liu, Chuntai
    [J]. RESULTS IN MATHEMATICS, 2019, 74 (01)
  • [8] Linear combination of composition operators on <mml:msup>H</mml:msup> and the Bloch space
    Shi, Yecheng
    Li, Songxiao
    [J]. ARCHIV DER MATHEMATIK, 2019, 112 (05) : 511 - 519
  • [9] Illposedness of <mml:msup>C2</mml:msup> Vortex Patches
    Kiselev, Alexander
    Luo, Xiaoyutao
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (03)
  • [10] Search for new neutral Higgs bosons through the H→ZA→<mml:msup>l+</mml:msup><mml:msup>l-</mml:msup>bb<mml:mo stretchy="true"><overbar></mml:mover> process in pp collisions at <mml:msqrt>s</mml:msqrt>=13 TeV
    Sirunyan, A. M.
    Tumasyan, A.
    Adam, W.
    Ambrogi, F.
    Bergauer, T.
    Brandstetter, J.
    Dragicevic, M.
    Eroe, J.
    Del Valle, A. Escalante
    Flechl, M.
    Fruehwirth, R.
    Jeitler, M.
    Krammer, N.
    Kraetschmer, I.
    Liko, D.
    Madlener, T.
    Mikulec, I.
    Rad, N.
    Schieck, J.
    Schoefbeck, R.
    Spanring, M.
    Spitzbart, D.
    Waltenberger, W.
    Wulz, C. -E.
    Zarucki, M.
    Drugakov, V.
    Mossolov, V.
    Gonzalez, J. Suarez
    Darwish, M. R.
    De Wolf, E. A.
    Di Croce, D.
    Janssen, X.
    Lauwers, J.
    Lelek, A.
    Pieters, M.
    Sfar, H. Rejeb
    Van Haevermaet, H.
    Van Mechelen, P.
    Van Putte, S.
    Van Remortel, N.
    Blekman, F.
    Bols, E. S.
    Chhibra, S. S.
    D'Hondt, J.
    De Clercq, J.
    Lontkovskyi, D.
    Lowette, S.
    Marchesini, I.
    Moortgat, S.
    Moreels, L.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2020, (03):
1234