We have established a relation between θ−|R,pn|k and θ−|R,qn|k summability methods, k > 1, which generalizes a result of Sunouchi (1949) on |R,pn| and |R,qn| summability methods.

Hilbert space. In this paper the following theorem is proved: every one-parameter continuous group of unitary transformations in abstract Hilbert space possesses a generating infinitesimal transformation of the form iT, where T is an Hermitian symmetric operator which is maximal, and conversely. 15. Professor G. M. Robison: The consistency and equivalence of certain definitions of summability o...

Vaccination of children – summary and conclusions from a systematic review The full review can be found in Acta Pædiatrica 2010; 99: s461 Sven-Arne Silfverdal, Lennart Nilsson, Margareta Blennow, Rose-Marie Carlsson, Lars Å Hanson, Anders Lindberg, Lars Lindquist, Margaretha Magnusson, Anders Norlund, Olof Nyrén, Per Olcén, Patrick Olin, Juliette Säwe, Ann Söderström, Birger Trollfors, Åke Örtq...

In [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.Also, we exhibited the topic of limit summability of real functions in [2,3]. Inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. Finally, we pose an unsolved problem aboutthem.

In this paper‎, ‎following a very recent‎ ‎and new approach‎, ‎we further generalize recently introduced‎ ‎summability methods‎, ‎namely‎, ‎$I$-statistical convergence and‎ ‎$I$-lacunary statistical convergence (which extend the important‎ ‎summability methods‎, ‎statistical convergence and lacunary‎ ‎statistical convergence using ideals of $mathbb{N}$) and‎ ‎introduce the notions of $I$-statis...

In this study we introduce the concepts of statistical convergence of order$beta$ and strong $p-$Ces`{a}ro summability of order $beta$ for sequencesof fuzzy numbers. Also, we give some relations between the statisticalconvergence of order $beta$ and strong $p-$Ces`{a}ro summability of order$beta$ and construct some interesting examples.

In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability (H, 1) introduced by Móricz (Analysis 24:127-145, 2004) and [H, 1]q-summability. We also give subsequence characterization of statistical summability (H, 1). MSC: 40A0...