ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α

ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α

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摘要 In this article, we introduce the concept of lacunary statistical convergence of order a of real number sequences and give some inclusion relations between the sets of lacu- nary statistical convergence of order α and strong Nα （p）-summability. Furthermore, some relations between the spaces Nθα （p） and Sθα are examined. In this article, we introduce the concept of lacunary statistical convergence of order a of real number sequences and give some inclusion relations between the sets of lacu- nary statistical convergence of order α and strong Nα （p）-summability. Furthermore, some relations between the spaces Nθα （p） and Sθα are examined.

作者 Hacer SENGL Mikail ET

机构地区 Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期473-482,共10页 数学物理学报（B辑英文版）

关键词 Statistical convergence lacunary sequence Cesaro summability Statistical convergence lacunary sequence Cesaro summability

分类号 O211.4 [理学—概率论与数理统计]

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1Binod Chandra Tripathy,Bipan Hazarika.Some I-Convergent Sequence Spaces Defined by Orlicz Functions[J].Acta Mathematicae Applicatae Sinica,2011,27(1):149-154. 被引量：3
2Binod Chandra Tripathy,Sabita Mahanta.On a Class of Generalized Lacunary Difference Sequence Spaces Defined by Orlicz Functions[J].Acta Mathematicae Applicatae Sinica,2004,20(2):231-238. 被引量：3

二级参考文献25

1Bhardwaj, V.K., Singh, N. Some sequence spaces defined by Orlicz functions. Demonsfratlo Math., 33(3): 571 582 (2000).
2Demirci, K. Ilimit superior and limit inferior. Math. Commun., 6:165-172 (2001).
3Esi, A., Et, M. Some new sequence spaces defined by a sequence of Orlicz functions. Indian J. Pure Appl. Math., 31(8): 967-972 (2000).
4Et, M. On Some new Orlicz sequence spaces. J. Analysis, 9:21 28 (2001).
5Esi, A. Some new sequence spaces defined by Orlicz functions. Bull. Inst. Math. Acad. Sinica., 27:71-76 (1999).
6Kamthan, P.K., Gupta, M. Sequence spaces and Series. Marcel Dekker, New York, 1980.
7Korasnoselkii, M.A., Rutitsky, Y.B. Convex functions and Orlicz functions. Groningoen, Netherlands, 1961.
8Kostyrko, P., Salat, T., Wilczyfiski, W. I-convergence. Real Analysis Exchange, 26(2): 669-686 (2000).
9Lindenstrauss, J., Tzafriri, L. On Orlicz sequence spaces. Israel J. Math., 101:379-390 (1971).
10Maddox, I.J. Elements of Functional Analysis. Cambridge Univ. Press, 1970.

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2Erdin DNDAR,Bilal ALTAY.I_2-CONVERGENCE AND I_2-CAUCHY DOUBLE SEQUENCES[J].Acta Mathematica Scientia,2014,34(2):343-353.
3Binod Chandra Tripathy,Inder Kumar Rana,Stuti Borgohain.On Some Class of n-Normed Generalized Difference Sequences Related to l_p-Space[J].Analysis in Theory and Applications,2014,30(2):214-223.
4熊倩.关于网的理想收敛性质[J].闽南师范大学学报（自然科学版）,2021,34(2):45-49. 被引量：1

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2Nimet Pancaroglu Fatih Nuray.Lacunary Invariant Statistical Convergence Of Sequences Of Sets With Respect To A Modulus Function[J].Journal of Mathematics and System Science,2015,5(3):122-126.
3Li Xin CHENG,Li Hua LIN,Xian Geng ZHOU.Statistical Convergence and Measure Convergence Generated by a Single Statistical Measure[J].Acta Mathematica Sinica,English Series,2016,32(6):668-682. 被引量：1
4R. olak,. A. Bektas.ERRATA TO: “λ-Statistical Convergence of Order α” Acta Mathematica Scientia 2011, 31B(3): 953-959[J].Acta Mathematica Scientia,2011,31(5):2099-2100. 被引量：1
5A.AIZPURU,M.NICASIO-LLACH,F.RAMBLA-BARRENO.A Remark about the Orlicz-Pettis Theorem and the Statistical Convergence[J].Acta Mathematica Sinica,English Series,2010,26(2):305-310.
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8Wu Zhaoji(Suzhou Vocational CollegeSuzhou 215011 PRCosky@163. net).ON ALMOST EVERYWHERE SUMMABILITY OF CONJUGATE BOCHNER-RIESZ MEANS[J].Analysis in Theory and Applications,2000,16(2):52-57.
9Chin Cheng Lin (National Central University, Taiwan, China).SUMMABILITY OF HERMITE SERIES[J].Analysis in Theory and Applications,2001,17(2):45-53.
10Mohammad MURSALEEN,Celal ■AKAN,Syed Abdul MOHIUDDINE,Ekrem SAVA■.Generalized Statistical Convergence and Statistical Core of Double Sequences[J].Acta Mathematica Sinica,English Series,2010,26(11):2131-2144.

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2014年第2期

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ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α

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