Geodesic
Characterizations of double Hausdorff matrices and best approximation of conjugate of a function in generalized Hölder space
Filomat, Tome 36 (2022) no. 15, p. 5003

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In the present paper, we obtain characterization results of double Hausdorff matrices and apply these results to obtain error estimation of the functioñ f (x, y), conjugate to a function f (x, y) (periodic with period 2π in both x and y) in generalized Hölder space by double Hausdorff means of its double conjugate Fourier series. Some important corollaries are also obtained from our main result.
DOI : 10.2298/FIL2215003N
Classification : 42A10, 40G05
Keywords: Generalized Hölder space (H(ξ1, ξ2)r, r ≥ 1), double Hausdorff matrices, double conjugate Fourier series, error estimation of function, modulus of continuity 
H K Nigam; Manoj Kumar Sah. Characterizations of double Hausdorff matrices and best approximation of conjugate of a function in generalized Hölder space. Filomat, Tome 36 (2022) no. 15, p. 5003 . doi: 10.2298/FIL2215003N
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     author = {H K Nigam and Manoj Kumar Sah},
     title = {Characterizations of double {Hausdorff} matrices and best approximation of conjugate of a function in generalized {H\"older} space},
     journal = {Filomat},
     pages = {5003 },
     year = {2022},
     volume = {36},
     number = {15},
     doi = {10.2298/FIL2215003N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2215003N/}
}
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