Applications of Orlicz-Pettis theorem in vector valued multiplier spaces of generalized weighted mean fractional difference operators

DOI10.1186/s13662-021-03531-5zbMath1494.39021OpenAlexW3192821495MaRDI QIDQ2167124

Swati Jasrotia, Kuldip Raj, Mohammad Mursaleen

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03531-5

zbMATH Keywords

Orlicz-Pettis theoremunconditionally Cauchy seriesCauchy seriesgeneralized weighted mean operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convergence and divergence of series and sequences (40A05) Sequence spaces (including Köthe sequence spaces) (46A45) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items

Characterization of summing operators in multiplier spaces of deferred Nörlund summability

Cites Work

• Some new paranormed difference sequence spaces and weighted core
• Difference sequence spaces derived by using a generalized weighted mean
• An application of almost convergence in approximation theorems
• On some classes of generalized difference paranormed sequence spaces associated with multiplier sequences
• On the classes of fractional order difference sequence spaces and their matrix transformations
• On Cesàro summability of vector valued multiplier spaces and operator valued series
• On a class of vector-valued sequences associated with multiplier sequences
• Some new difference sequence spaces of fractional order and their dual spaces
• Relatively equi-statistical convergence via deferred Nörlund mean based on difference operator of fractional-order and related approximation theorems
• A generalization of almost convergence, completeness of some normed spaces with wuC series and a version of Orlicz-Pettis theorem
• Some paranormed sequence spaces of non-absolute type derived by weighted mean
• Almost summability and unconditionally Cauchy series
• A contribution to the theory of divergent sequences
• Summability Theory And Its Applications
• On Certain Sequence Spaces
• On difference sequence spaces of fractional-order involving Padovan numbers
• Applied Summability Methods
• Strongly almost convergent generalized difference sequences associated with multiplier sequences
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item