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Multidimensional statistical convergence of functions via ideal

RABİA SAVAŞ|R. F. Patterson
장전수학회 (Jangjeon Mathematical Society)|2020.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제23권 제4호|pp. 509-518|DOI 10.17777/pjms.2020.23.4.007

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참고문헌

키워드

statistical convergenceidealDouble sequencesdouble real valued functionsummable sequence
주제분류수학

초록

The goal of this paper includes the generalization of the notions of [V,λ,μ] (I2)-double strongly summability and I2 - λμ-double statistical convergence by taking nonnegative real-valued Lebesgue measurable two dimensional functions on (1,∞)×(1,∞). Using these two new notions we established two fundamental inclusion theorems.

Abstract

The goal of this paper includes the generalization of the notions of [V,λ,μ] (I2)-double strongly summability and I2 - λμ-double statistical convergence by taking nonnegative real-valued Lebesgue measurable two dimensional functions on (1,∞)×(1,∞). Using these two new notions we established two fundamental inclusion theorems.

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관련 논문AI추천

DOUBLE IDEAL LACUNARY STATISTICAL CONVERGENCE IN TOPOLOGICAL GROUPSEKREM SAVAS장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호Some results on $\left( \lambda ,\mu \right) $-statistical convergence of sequences in gradual $n$-normed linear spacesMehmet Gurdal, Nagihan Ustunsoy, Omer KISI기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제25권 제3호STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREMCemal Belen, Mohammad Mursaleen, Mustafa Yildirim대한수학회 · 대한수학회보2012 · 제49권 제4호A note on lacunary statistically convergent double sequences of fuzzy numbersYavuz Altin대한수학회 · 대한수학회논문집2008 · 제23권 제2호Strongly Summable Double Sequence Spaces in n−Normed Spaces Defined by Ideal Convergence and an Orlicz FunctionAyhan Esi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제2호Rough $\Delta \mathcal{I}_{2}$-convergence of double sequencesOmer Kisi기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제2호

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