Geodesic
Approximation of functions in generalized Holder spaces and their modifications
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 27-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study rate of approximation of Valle Poussin means of Fourier series in generalized Holder spaces.
Keywords: Fourier series, Holder space, Fejer means, Valle Poussin means. 
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     title = {Approximation of functions in generalized {Holder} spaces and their modifications},
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M. R. Golava. Approximation of functions in generalized Holder spaces and their modifications. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 27-35. http://geodesic.mathdoc.fr/item/VKAM_2018_3_a2/

[1] Prössdorf S., “Zur Konvergens der Fourierreihen Hölder stetiger”, Math. Nachr, 69 (1975), 7-14 | DOI | MR

[2] Leindler L., “Generalizations of Prössdorfs theorems”, Stud. Math. Hung., 14 (1979), 431-439 | MR

[3] Chandra P., “On the generalized Fejer means in the metric of the Hölder space”, Math. Nachr., 109 (1982), 39-45 | DOI | MR

[4] Leindler L., Meir A., Totik V., “On approximations of continuous functions in Lipchitz norms”, Acta Math. Hung., 45:3-4 (1985), 441-443 | DOI | MR

[5] Mohapatra R.N., Chandra P., “Degree of approximation of functions in the Hölder metric”, Acta Math. Hung., 41:1-2 (1983), 67-76 | DOI | MR

[6] Singh U., “The approximation of continuous functions in the Hölder metric”, Mat. april., 43:3-4 (1991), 111-118 | MR

[7] Lasuriya P.A., “O priblizhenii periodicheskikh funktsii lineinymi srednimi summ Fure v obobschennoi gelderovoi metrike”, Dokl. AMAN, 5:1 (2000), 24-39

[8] Lasuriya P.A., “O priblizhenii funkcij, zadannyh na vsej dejstvitel'noj osi, operatorami tipa Fejera v obobshchennoj gyol'derovoj metrike”, Mat. zametki, 81:4 (2007), 574-552 | DOI | MR

[9] ZHuk V.V., “Priblizhenie periodicheskih funkcij v metrikah tipa Gyol'dera summami Fur'e i srednimi Pissa”, Zap. nauch. Sem. POMi, 350 (2007)

[10] Landon B.A., Degree of approximation of Hölder continuous functions, A dissert. For the degree of D-r of Phil. in Math. in the Depart. Of Vath. at the Un-ty of Central Florida, Orlando (USA)., 2008, 76 pp. | MR

[11] Draganov B.R., “Simultaneous approximation of functions by Fejer-type operators in a generalized Hölder norm”, East J. Approx., 14 (2008), 439-449 | MR

[12] Telyakovskij S.A., “O skorosti priblizheniya funkcij v lipshicevyh normah”, Trudy in-ta mat-ki i mekh-ki UrO PAN., 16:4 (2010), 297-299

[13] Lasuriya P.A., “Approksimaciya i gruppy otklonenij ryadov Fur'e v obobshchyonnyh gyol'derovyh prostranstvah”, Pyady Fur'e i ih prilozheniya, Materialy IX mezhd. simp. F.N. i obr. YU.FU., 2016, 9-20

[14] Lasuriya P.A., Golava M.P., “Srednie Fejera v obobshchyonnom gyol'derovom prostranstve”, Trudy AGU. PO AGU., 2015, 5-11

[15] Efimov A.V., “O priblizhenii periodicheskih funkcij summami Valle Pussena”, izv. AN SSSP (ser. matem), 23:5 (1959), 737-770