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您的检索式：作者名="U.GOGINAVA"
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| 1 | Uniform and L-convergence of Logarithmic Means of Walsh-Fourier Series显示文摘The (Nrlund) logarithmic means of the Fourier series of the integrable function f is:1/l_n sum from k=1 to n-1 S_k(f)/(n-k), where l_n:=sum from k=1 to n-1 1/kIn this paper we discuss some convergence and divergence properties of this logarithmic means of the Walsh-Fourier series of functions in the uniform, and in the L^1 Lebesgue norm. Among others, as an application of our divergence results we give a negative answer to a question of Móricz concerning the convergence of logarithmic means in norm. | G.GáT U.GOGINAVA | 2006 | Acta Mathematica Sinica,English Series2006，22，2： | 4 |
| 2 | CONVERGENCE OF LOGARITHMIC MEANS OF MULTIPLE WALSH-FOURIER SERIES显示文摘N(o)rlund logarithmic means of multiple Walsh-Fourier series acting from space L Ind -1 L ([0, 1) d ), d ≥1 into space weak - L1([0, 1)d) are studied. The maximal Orlicz space such that the N(o)rlund logarithmic means of multiple Walsh-Fourier series for the functions from this space converge in d-dimensional measure is found. | G.Gát U.Goginava G.Tkebuchava | 2005 | Analysis in Theory and Applications2005，21，4： | 1 |
| 3 | UNIFORM CONVERGENCE OF CES■RO MEANS OF NEGATIVE ORDER OF DOUBLE TRIGONOMETRIC FOURIER SERIES显示文摘In this paper we prove that if f∈C([-π,π]~2)and the function f is bounded partial p-variation for some p∈[1, +∞),then the double trigonometric Fourier series of a function f is uniformly(C;-α,-β)summable (α+β<1/p,α,β>0)in the sense of Pringsheim.Ifα+β≥1/p, then there exists a continuous function f_0 of bounded partial p-variation on [-π,π]~2 such that the Cesàro(C;-α,-β) meansσ_(n,m)^(-α,-β)(f_0;0, 0)of the double trigonometric Fourier series of f_0 diverge over cubes. | U.Goginava | 2007 | Analysis in Theory and Applications2007，23，3： | 0 |
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