논문KCI 등재
On rough weighted ideal convergence of triple sequence of Bernstein polynomials
0
조회
0
다운로드
2
인용
0
참고문헌
키워드
주제분류수학
초록
We introduce and study some basic properties of rough Iλ-convergent of weight g, where g : N³ → [0,∞) is a function satisfying g (m, n, k) → ∞ and |(m,n,k)|/g(m,nk) ↛ 0 as m, n, k → ∞, of triple sequence of Bernstein polynomials and also investigate certain properties of rough Iλ-convergence of weight g.
Abstract
We introduce and study some basic properties of rough Iλ-convergent of weight g, where g : N³ → [0,∞) is a function satisfying g (m, n, k) → ∞ and |(m,n,k)|/g(m,nk) ↛ 0 as m, n, k → ∞, of triple sequence of Bernstein polynomials and also investigate certain properties of rough Iλ-convergence of weight g.
참고문헌 (29)
- S. Aytar, "Rough statistical convergence", Numer. Funct. Anal, Optimiz., 29(3-4), pp.291~303 (2008)[DOI]
- S. Aytar, "The rough limit set and the core of a real sequence", Numer. Funct. Anal. Optimiz., 29(3-4), pp.283~290 (2008)[DOI]
- M. Balcerzak, "Generalized kind of density and the associated ideals", Acta. Math. Hungar., 147(1), pp.97~115 (2015)[DOI]
- A. J. Dutta, "Statistically convergent triple sequence spaces defined by Orlicz function", J. Math. Anal., 4(2), pp.16~22 (2013)
- S. Debnath, "Some generalized triple sequence spaces of real numbers", J. Nonlinear Anal. Optimiz., 6(1), pp.71~79 (2015)
- E. Dundar, "Rough I-convergence", Demonstratio Math., XLVII(3), pp.638~651 (2014)
- E. Dundar, "Rough convergence of double sequences", Gulf J. Math., 2(1), pp.45~51 (2014)
- E. Dundar, "On Rough <TEX>$I_2$<", TEX>-Convergence of Double Sequences, 2016, pp.37(4), 480~491
- A. Esi, "On some triple almost lacunary sequence spaces defined by Orlicz functions", Research and Reviews: Discrete Math. Structures, 1(2), pp.16~25 (2014)
- A. Esi, "Almost convergence of triple sequences", Global J. Math. Anal., 2(1), pp.6~10 (2014)
- A. Esi, "On lacunary statistically convergent triple sequences in probabilistic normed space", Appl. Math. Inf. Sci., 9(5), pp.2529~2534 (2015)
- A. Esi, "Statistical Convergence of Bernstein Operators", Appl. Math. Inf. Sci., 10(6), pp.2083~2086 (2016)[DOI]
- A. Esi, "<TEX>${\lambda}_3$<", TEX>-Statistical convergence of triple sequences on probabilistic normed space, 2013, pp.1(2), 29~36
- B. Hazarika, "Ideal convergence of random variables", J. Func. Spaces Appl., 2013 (2013)
- P. Kostyrko, "On I-convergence", Real Analysis Exchange, 26(2), pp.669~686 (2001)
- P. Malik, "On rough statistical convergence of double sequences in normed linear spaces", Afr. Mat., 27(1), pp.141~148 (2016)[DOI]
- C.P. Niculescu, "Some open problems concerning the convergence of positive series", Ann. Acad. Rom. Sci. Ser. Math. Appl., 6, pp.92~107 (2014)
- F. Nuray, "Generalized statistical convergence and convergence free spaces", J. Math. Anal. Appl., 245, pp.513~527 (2000)[DOI]
- S. K. Pal, "Rough Ideal Convergence", Hacettepe J. Math. Stat., 42(6), pp.633~640 (2013)
- H.X. Phu, "Rough convergence in normed linear spaces", Numer. Funct. Anal. Optimiz., 22, pp.199~222 (2001)[DOI]
- H.X. Phu, "Rough continuity of linear operators", Numer. Funct. Anal. Optimiz., 23, pp.139~146 (2002)[DOI]
- H.X. Phu, "Rough convergence in infinite dimensional normed spaces", Numer. Funct. Anal. Optimiz., 24, pp.285~301 (2003)[DOI]
- A. Sahiner, "Triple sequences and thieir statistical convergence", Selcuk J. Appl. Math., 8(2), pp.49~55 (2007)
- A. Sahiner, "Some I related properties of triple sequences", Selcuk J. Appl. Math., 9(2), pp.9~18 (2008)
- T. Salat, "On some properties of I-convergence", Tatra Mt. Math. Publ., 28, pp.279~286 (2001)
- E. Savas, "Statistical convergence of triple sequences on probabilistic normed space", Ann. Uni. Craiova, Math. Compu. Sci. Series, 39(2), pp.226~236 (2012)
- E. Savas, "On <TEX>$I_{\lambda}$<", TEX>-statistical convergence of weight g, 2016, pp.1759, 1~5
- D. D. Stancu, "A Method for Obtaining Polynomials of Bernstein type of two Variables", The American Math. Monthly, 70, pp.260~264 (1963)[DOI]
- B.C. Tripathy, "On triple difference sequences of real numbers in probabilistic normed spaces", Proyecciones J. Math., 33(2), pp.157~174 (2014)[DOI]
관련 논문AI추천
Bernstein Stancu operator of rough $I$-core of triple sequencesA. Esi, M. K. Ozdemir, N. Subramanian기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제3호On triple sequence space of Bernstein-Stancu operator of rough $I_{\lambda}% -$statistical convergence of weighted $g\left( A\right) $A. Esi, Ayten Esi, N. Subramanian기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제3호Fuzzy Bernstein Stancu difference operator of rough $I$-core of double sequences with weighted statistical convergence and its applicationsA. Esi, A. Indumathi, Bipan Hazarika, N. Subramanian기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제1호Wijsman rough I-convergence limit point of triple sequences defined by a metric functionAyhan Esi, AYTEN ESI, Nagarajan Subramanian기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제1호Chlodowsky type (λ, q)-Bernstein Stancu operator of rough triple sequence space of fuzzy numbersAyhan Esi, M. Kemal Ozdemir, Nagarajan Subramanian기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제1호On the Borel summability method of rough convergence of triple sequences of Bernstein-Stancu operator of fuzzy numbersAyhan Esi, M. Kemal Ozdemir, Nagarajan Subramanian기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제3호
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
