Results 11 to 20 of about 174,272,593 (220)
On Absolute Summability Factors of Infinite Series [PDF]
Computers and Mathematics With Applications, 2008 In this paper a general theorem on |A,δ|k-summability methods has been proved. This theorem includes, as a special case, a known result in [E. Savas, Factors for |A|k Summability of infinite series, Comput. Math. Appl. 53 (2007) 1045–1049]
Ekrem Savas
exaly +2 more sources
Orlicz–Pettis Theorem Through Summability Methods [PDF]
Mathematics, 2019 This paper unifies several versions of the Orlicz–Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León Saavedra +1 more
exaly +2 more sources
, 2022 In this paper, we introduce and investigate the concept of AIK-summability as an extension of AI∗-summability which was recently (2021) introduced by O.H.H.~Edely, where A=(ank)∞n,k=1 is a non-negative regular matrix and I and K represent two non-trivial
Chiranjib Choudhury +3 more
core +1 more source
A study on absolute summability factors [PDF]
, 2020 In this study we proved theorems dealing with summability factors giving relations between absolute Cesàro and absolute weighted summability methods. So we deduced some results in the special cases. © 2020, Sakarya University.
G. Canan HAZAR GÜLEÇ +1 more
core +2 more sources
Regular matrix methods of summability and real interpolation [PDF]
, 2021 We show that the Banach–Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin–
Kurlej, Konrad, Kryczka, Andrzej
core +2 more sources
, 2014 This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years.
Mursaleen, M
core +1 more source
A one-sided theorem for the product of Abel and Ces\`{a}ro summability methods [PDF]
, 2015 In this paper, a one-sided condition is given to recover (C, alpha) summability of a sequence from its (A)(C, alpha + 1) summability. Our result extends and generalizes the well known classical Tauberian theorems given for Abel and Cesaro summability ...
Erdem, Yılmaz +2 more
core +1 more source
Kernel-Summability Methods and the Silverman-Toeplitz Theorem [PDF]
, 2023 We introduce kernel-summability methods in Banach spaces using the vector-valued integrals and prove an analogue of the Silverman-Toeplitz Theorem for regular kernel-summability methods.
Parisé, Pierre-Olivier
core +1 more source
On absolute normal double matrix summability methods [PDF]
, 2003 It is shown that, if T is a row finite nonnegative double summability matrix satisfying certain conditions, then |T|k summability is stronger than |N, pn|k summability, for k 1. As special summability methods T we consider weighted mean and double Cesaro,
Rhoades, B. E.
core
Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Idiopathic multicentric Castleman disease (iMCD) is a potentially fatal immunologic disorder marked by widespread lymphadenopathy and inflammation. Siltuximab, an interleukin‐6 (IL‐6) inhibitor, is the only FDA‐approved treatment for adult patients with iMCD.
Bridget Austin +17 more
wiley +1 more source