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The best simultaneous approximation in linear 2-normed spaces

mehmetacikgoz
장전수학회 (Jangjeon Mathematical Society)|2012.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제15권 제4호|pp. 415-422|DOI 10.17777/pjms.2012.15.4.009

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키워드

2-normed spacebest approximationsimultaneous best ap-proximation2-Banach space
주제분류수학

초록

In this paper, we shall investigate and analyse a new study on the best simultaneous approximation in the context of linear 2-normed spaces inspired by Elumalai and his coworkers in [10]. The basis of this investigation is to extend and re…nement the de…nition of the classical aproximation, best approximation and some related concepts to linear 2-normed spaces.

Abstract

In this paper, we shall investigate and analyse a new study on the best simultaneous approximation in the context of linear 2-normed spaces inspired by Elumalai and his coworkers in [10]. The basis of this investigation is to extend and re…nement the de…nition of the classical aproximation, best approximation and some related concepts to linear 2-normed spaces.

참고문헌 (27)

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관련 논문AI추천

COMONOTONE APPROXIMATION IN LINEAR 2-NORMED SPACESMEHMET AÇIKGÖZ장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제2호SOME RESULTS ON APPROXIMATION IN 2-BANACH SPACESAÇIKGÖZ, M, ARACI, S, ASLAN, N, KARAKU¸S, Y장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호A STUDY ON TYPES OF APPROXIMATION IN THE SENSE OF 2-STRUCTURESDOGAN DÖNMEZ, MEHMET AÇIKGÖZ, YUSUF KARAKUS장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호On ω-Chebyshev subspaces in Banach spacesHamid Mazaheri, Maram Shams, Sayed Mansour Vaezpour대한수학회 · 대한수학회보2008 · 제45권 제3호On the topology of -normed spaces with respect to norms of its quotient spacesHARMANUS BATKUNDE, HENDRA GUNAWAN장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz FunctionAmit Gupta, Kuldip Raj, Sunil K. Sharma경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호

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