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Strong approximation of almost periodic functions
Almost periodic functions Rate of strong approxima-tion Summability of Fourier series
2012/4/16
We consider summability methods generated by the class GM(2b). We generalize some related results of P. Pych-Taberska [Studia Math. XCVI (1990), 91-103] on strong approximation of almost periodic func...
Pointwise strong approximation of almost periodic functions
Almost periodic functions Rate of strong approximation Summability of Fourier series
2012/4/16
We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.
Doubly-Weighted Pseudo-Almost Periodic Functions
pseudo almost periodic weight doubly-weighted pseudo-almost periodic
2011/1/21
We introduce and study a new concept called doubly-weighted pseudo-almost periodicity, which generalizes the notion of weighted pseudo-almost periodicity due to Diagana. Properties of such a new conce...
ALMOST-PERIODIC FUNCTIONS AND DISTRIBUTIONS ASSOCIATED WITH THE DUNKL OPERATOR ON R
Dunkl operator Bohr-almost-periodic functions Bohr-almost-periodic distributions Generalized-almost-periodic functions Generalized-almost-periodic distributions intertwining operator Fourier-Dunkl expansion Dunkl-Poisson formula
2008/11/28
Almost periodic functions and distributions associated with the differential-difference
Dunkl operator Dμ of index μ on R are introduced and studied in this work. We give
their expansions in terms o...
STEPANOV-LIKE PSEUDO ALMOST PERIODIC FUNCTIONS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS
almost periodic pseudo almost periodic Stepanov-pseudo almost periodicity
2008/11/25
This paper introduces and examines a new class of functions called Stepanov-like
pseudo almost periodic functions (or Sp-pseudo almost periodic functions), which generalizes
in a natural fashion the...