Abstract The concept of $$\mu $$ μ -strong Cesaro summability at infinity for a locally integrable function is introduced in this work. -statistical convergence also considered and the relationship between these two concepts established. \left[ p\right] p </mml:mfence...

The analogous of Lebesgue-Gergen convergence test for generalized Ces´aro means Fourier trigonometric series is given.

This paper presents a new, penetrating approach to Young measure convergence in an abstract, measure theoretical setting. It was started in [12, 13, 14] and given its definitive shape in [18, 22]. This approach is based on K-convergence, a device by which narrow convergence on P(R) can be systematically transferred to Young measure convergence. Here P(R) stands for the set of all probability me...

This sequence has diverse applications in many areas of mathematics, ranging from classical or numerical analysis to number theory, special functions or theory of probability. There is a huge literature about the sequence (γn)n≥1 and the constant γ. Please refer to [3, 4, 5, 6, 7, 8] and all the references therein. The speed of convergence to γ of sequence (γn)n≥1 is very slowly, if we take int...

The dual spaces $d(p), 1 \lt p \infty ,$ of the discrete Cesaro (Banach) $\mathrm{ces} (q)$, $1 q were studied by G. Bennett, A. Jagers and others. These (reflexive) Banach induce non-normable Frechet $d (p+) := \bigcap_{r \gt p} d (r), $ for \leq (LB)-spaces (p-) \bigcup_{ r } recently introduced investigated in [11]. Here a detailed study is made various aspects, such as spectrum, continuity,...