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Editorial Recent Developments on Summability Theory and Its Applications Mikail Et, 1,2 Mohammad Mursaleen, 3 Syed Abdul Mohiuddine, 4 Mahmut IGJk, 5 Jeff Connor, 6 and Feyzi BaGar 7 1 Department of Mathematics, Fırat University, 23119 Elazı˘ g, Turkey 2 Department of Mathematics, Siirt University, 56100 Siirt, Turkey 3 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India 4 Operator eory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 5 Faculty of Education, Harran University, Osmanbey Campus, 63190 S ¸anlıurfa, Turkey 6 Department of Mathematics, Ohio University, Athens, OH 45701, USA 7 Department of Mathematics, Faculty of Arts and Sciences, Fatih University, Hadımk¨ oy Campus, B¨ uy¨ ukc ¸ekmece, 34500 Istanbul, Turkey Correspondence should be addressed to Mikail Et; [email protected] Received 31 May 2015; Accepted 3 June 2015 Copyright © 2015 Mikail Et et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. e aim of this special issue is to focus on the latest devel- opments and achievements in summability theory such as sequence spaces and their geometry, statistical summability and statistical approximation, almost summability, fuzzy sequence spaces, matrix summability, compact matrix opera- tors between sequence spaces, infinite systems of differential and integral equations in sequence spaces, and various applications. e theory of sequence spaces is a powerful tool for obtaining positive results concerning Schauder bases and plays a fundamental role in creating the basis of several investigations conducted in nonlinear analysis. e research papers in this special issue cover various topics like uniform convergence of sequences and series of fuzzy-valued functions, stability of functional equations, per- formance on ICI self-cancellation in FFT-OFDM and DCT- OFDM system, paranormed sequence spaces and related duals over the non-Newtonian complex field, Fourier expan- sions with polynomial terms, statistical summability methods of order of sequences of fuzzy numbers, fixed point theorems for contractive mappings, and star-shaped sets in manifolds. We believe that the results presented in this issue will be a source of inspiration for researchers working in summability theory and related areas of mathematics. Acknowledgments e guest editors of this special issue would like to express their gratitude to the authors who have submitted papers for consideration. e editors thank all the contributors and colleagues who did the refereeing work very sincerely. Mikail Et Mohammad Mursaleen Syed Abdul Mohiuddine Mahmut Is ¸ık Jeff Connor Feyzi Bas ¸ar Hindawi Publishing Corporation Journal of Function Spaces Volume 2015, Article ID 934780, 1 page http://dx.doi.org/10.1155/2015/934780

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Page 1: Editorial Recent Developments on Summability Theory and ...downloads.hindawi.com/journals/jfs/2015/934780.pdf · Editorial Recent Developments on Summability Theory and Its Applications

EditorialRecent Developments on Summability Theoryand Its Applications

Mikail Et,1,2 Mohammad Mursaleen,3 Syed Abdul Mohiuddine,4

Mahmut IGJk,5 Jeff Connor,6 and Feyzi BaGar7

1Department of Mathematics, Fırat University, 23119 Elazıg, Turkey2Department of Mathematics, Siirt University, 56100 Siirt, Turkey3Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India4Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science,King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia5Faculty of Education, Harran University, Osmanbey Campus, 63190 Sanlıurfa, Turkey6Department of Mathematics, Ohio University, Athens, OH 45701, USA7Department of Mathematics, Faculty of Arts and Sciences, Fatih University, Hadımkoy Campus,Buyukcekmece, 34500 Istanbul, Turkey

Correspondence should be addressed to Mikail Et; [email protected]

Received 31 May 2015; Accepted 3 June 2015

Copyright © 2015 Mikail Et et al.This is an open access article distributed under the Creative CommonsAttribution License, whichpermits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

The aim of this special issue is to focus on the latest devel-opments and achievements in summability theory such assequence spaces and their geometry, statistical summabilityand statistical approximation, almost summability, fuzzysequence spaces, matrix summability, compact matrix opera-tors between sequence spaces, infinite systems of differentialand integral equations in sequence spaces, and variousapplications. The theory of sequence spaces is a powerfultool for obtaining positive results concerning Schauder basesand plays a fundamental role in creating the basis of severalinvestigations conducted in nonlinear analysis.

The research papers in this special issue cover varioustopics like uniform convergence of sequences and series offuzzy-valued functions, stability of functional equations, per-formance on ICI self-cancellation in FFT-OFDM and DCT-OFDM system, paranormed sequence spaces and relatedduals over the non-Newtonian complex field, Fourier expan-sionswith polynomial terms, statistical summabilitymethodsof order 𝛽 of sequences of fuzzy numbers, fixed pointtheorems for contractive mappings, and star-shaped sets inmanifolds. We believe that the results presented in this issuewill be a source of inspiration for researchers working insummability theory and related areas of mathematics.

Acknowledgments

The guest editors of this special issue would like to expresstheir gratitude to the authors who have submitted papersfor consideration. The editors thank all the contributors andcolleagues who did the refereeing work very sincerely.

Mikail EtMohammad MursaleenSyed Abdul Mohiuddine

Mahmut IsıkJeff ConnorFeyzi Basar

Hindawi Publishing CorporationJournal of Function SpacesVolume 2015, Article ID 934780, 1 pagehttp://dx.doi.org/10.1155/2015/934780

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