논문KCI 등재
Lacunary arithmetic convergence
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
In this article we introduce and study the lacunary arithmetic convergent sequence space ACθ. Using the idea of strong Cesaro summable sequence and arithmetic convergence we define ACσ₁and study the relations between ACθ and ACσ₁. Finally using modulus function we define ACθ(f) and study some interesting results.
Abstract
In this article we introduce and study the lacunary arithmetic convergent sequence space ACθ. Using the idea of strong Cesaro summable sequence and arithmetic convergence we define ACσ₁and study the relations between ACθ and ACσ₁. Finally using modulus function we define ACθ(f) and study some interesting results.
참고문헌 (16)
- D, Borwein, "Linear functionals connected with strong Cesaro summability", J. Lond. Math. Soc., 40, pp.628~634 (1965)
- R. Colak, "Lacunary strong convergence of difference sequences with respect to a modulus function", Filomat, 17, pp.9~14 (2003)
- A. R. Freedman, "Some Cesaro-type summability spaces", Proc. Lond. Math. Soc., 37, pp.508~520 (1978)
- J. A. Fridy, "Lacllnary statistical summability", J. Math. Anal. Appl., 173(2), pp.497~504 (1993)[DOI]
- J. A, "Lacunary statistical convergence", Pacific J. Math., 160(1), pp.43~51 (1993)[DOI]
- B. Gramsch, "Die Klasse metrisher linearer Raume <TEX>$L_{\phi}$<", TEX>, 1967, pp.171(1), 61~78
- I. J. Maddox, "Sequence spaces defined by a modulus", Math. Proc. Camb. Philos. Soc., 100, pp.161166~ (1986)
- I.J. Maddox, "Spaces of strongly summably sequences", Quart. J. Math. Oxford (2), 18, pp.345~355 (1967)[DOI]
- H. Nakano, "Concave modulars", J. Math. Soc. Japan, 5, pp.2949~ (1953)
- S. Pehlivan, "On Some Sequence Space", lndian J. Pure Appl., 25(10), pp.1067~1071 (1994)
- W. H. Ruckle, "Arithmetical Summability", J. Math. Anal. Appl., 396, pp.741~748 (2012)[DOI]
- W. H. Ruckle, "FK spaces in which the sequence of coordinate vectors is bounded", Canad. J. Math., 25, pp.973~978 (1973)[DOI]
- Taja Yaying, "On arithmetical summability and multiplier sequences", National Academy Sci. Letters, 40(1), pp.43~46 (2017)[DOI]
- Taja Yaying, "On arithmetic continuity", Bol. Soc. Parana. Mat., 35(1), pp.139~145 (2017)[DOI]
- Taja Yaying, "Bipan Hazarika and Huseyin Cakalli, New results in quasi cone metric spaces", J. Math. Comput. Sci., 16(3), pp.435~444 (2016)[DOI]
- B. C. Tripathy, "On generalized difference lacunary statistical convergence", Studia Univ. Babes-Bolyai Math., 50(1), pp.119~130 (2005)
관련 논문AI추천
New Lacunary Strong Convergence Difference Sequence Spaces Defined by Sequence of ModuliQ. M. Danish Lohani, Vakeel A.Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means Defined by a Sequence of Modulus FunctionsÇiğdem Asma Bektaş, Gülcan Atici경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호On Deferred f−statistical ConvergenceSandeep Gupta, Vinod K. Bhardwaj경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACESMehmet Sengonul대한수학회 · 대한수학회논문집2010 · 제25권 제1호SOME SUMMABLE SEQUENCE SPACES DEFINED BY THE WEIGHTED MEAN METHOD AND MODULUS FUNCTIONSHEMEN DUTTA, SELMA ALTUNDAG장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호Lacunary I-Convergent SequencesBinod Chandra Tripathy, Bipan Hazarika, Bisweshwar Choudhary경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호
이 간행물의 다른 논문 (19건)
NEW TYPE INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS WITH APPLICATIONSKHALED MEHREZ, agarwalpp. 329-337Unified integral operator involving Generalized Bessel-Maitland functionW. A. Khan, K.S. NISARpp. 339-346SOME RECURRENCE RELATIONS FOR THE ENERGY OF CYCLE AND PATH GRAPHSIsmail Naci CANGUL, FERIHA CELIKpp. 347-355EDGE-ADJACENCY IN GRAPHSMert Sinan OZ, Ismail Naci CANGUL, Cilem YAMACpp. 357-373Sigma Index and Forgotten Index of the Subdivision and r-Subdivision GraphsMerve ASCIOGLU, Naci CANGULpp. 375-383
