In this present work, we present the concept of a crossed module over generalized groups and we call it a "generalized crossed module". We also define a generalized group-groupoid. Furthermore, we show that the category of generalized crossed modules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.
Let f be an H-periodic continuous function. The approximation order of the function f by deferred Cesàro means of its hexagonal Fourier series is estimated in uniform and generalized Hölder metrics.
In this paper the degree of approximation of the function f, which is
periodic with respect to the hexagon lattice by matrix means T(A)n(f) of
its hexagonal Fourier series in the generalized H?lder metric, where A is a
lower triangular infinite matrix of nonnegative real numbers with
nonincreasing row is estimated.
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