The Experts below are selected from a list of 15585 Experts worldwide ranked by ideXlab platform
Stipulanti Manon - One of the best experts on this subject based on the ideXlab platform.
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Generalized Pascal triangle for binomial coefficients of words
'Elsevier BV', 2017Co-Authors: Leroy Julien, Rigo Michel, Stipulanti ManonAbstract:We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subSequence of another finite word. Similarly to the Sierpi\'nski gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo $2$, we describe and study the first properties of the subset of $[0, 1] \times [0, 1]$ associated with this extended Pascal triangle modulo a prime $p$.Comment: 20 pages, 15 figure
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Generalized Pascal triangles to binomial coefficients of finite words
2017Co-Authors: Stipulanti ManonAbstract:We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subSequence of another finite word. Similarly to the Sierpinski gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo 2, we show the existence of a subset of [0, 1]×[0, 1] associated with this extended Pascal triangle modulo a prime p
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Generalized Pascal triangles to binomial coefficients of finite words
2017Co-Authors: Stipulanti ManonAbstract:audience: researcher, professional, studentWe introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subSequence of another finite word. Similarly to the Sierpinski gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo 2, we show the existence of a subset of [0, 1]×[0, 1] associated with this extended Pascal triangle modulo a prime p
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Generalized Pascal triangles for binomial coefficients of words: a short introduction
2017Co-Authors: Stipulanti ManonAbstract:We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a finite word appears as a subSequence of another finite word. Similarly to the Sierpiński gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo 2, we describe and study the first properties of the subset of [0, 1] × [0, 1] associated with this extended Pascal triangle modulo a prime p
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Generalized Pascal triangles for binomial coefficients of words: a short introduction
2017Co-Authors: Stipulanti ManonAbstract:audience: researcher, professional, studentWe introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a finite word appears as a subSequence of another finite word. Similarly to the Sierpiński gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo 2, we describe and study the first properties of the subset of [0, 1] × [0, 1] associated with this extended Pascal triangle modulo a prime p
Yunrui Guo - One of the best experts on this subject based on the ideXlab platform.
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some inequalities concerning the weakly Convergent Sequence coefficient in banach spaces
Abstract and Applied Analysis, 2008Co-Authors: Hongwei Jiao, Yunrui GuoAbstract:We establish two inequalities concerning the weakly Convergent Sequence coefficient and other parameters, which enable us to obtain some sufficient conditions for normal structure.
Bipan Hazarika - One of the best experts on this subject based on the ideXlab platform.
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on zweier generalized difference ideal Convergent Sequences in a locally convex space defined by musielak orlicz function
Boletim da Sociedade Paranaense de Matemática, 2017Co-Authors: Bipan Hazarika, Karan TamanagAbstract:Let $\mathbf{M}=(M_k)$ be a Musielak-Orlicz function. In this article, we introduce a new class of ideal Convergent Sequence spaces defined by Musielak-Orlicz function, using an infinite matrix, and a generalized difference matrix operator $B_{(i)}^{p}$ in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We obtain some relations related to these Sequence spaces.
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strongly almost ideal Convergent Sequences in a locally convex space defined by musielak orlicz function
Iranian Journal of Mathematical Sciences and Informatics, 2014Co-Authors: Bipan HazarikaAbstract:In this article, we introduce a new class of ideal Convergent Sequence spaces using an innite matrix, Musielak-Orlicz function and a new generalized dierence matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these Sequence spaces.
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on paranormed zweier ideal Convergent Sequence spaces defined by orlicz function
Journal of the Egyptian Mathematical Society, 2014Co-Authors: Bipan Hazarika, Karan Tamang, B K SinghAbstract:In this article we introduce paranorm ideal Convergent Sequence spaces using Zweier transform and Orlicz function. We study some topological and algebraic properties. Further we prove some inclusion relations related to these new spaces.
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lacunary difference ideal Convergent Sequence spaces of fuzzy numbers
Journal of Intelligent and Fuzzy Systems, 2013Co-Authors: Bipan HazarikaAbstract:In this article, using the Orlicz function M and the difference operator of order n ≥ 1, we introduce the spaces of lacunary ideal Convergent difference Sequences and lacunary strongly summable difference Sequences of fuzzy numbers via fuzzy metric. We also established some relations related to these spaces. Further, we study some basic topological properties of these spaces.
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on fuzzy real valued generalized difference i Convergent Sequence spaces defined by musielak orlicz function
Journal of Intelligent and Fuzzy Systems, 2013Co-Authors: Bipan HazarikaAbstract:In this article, using the Musielak-Orlicz function $\mathbf{M}$ and the difference operator, we introduce the spaces of I-Convergent generalized difference Sequences of fuzzy numbers. We prove the completeness of these spaces. Further, we investigate some inclusion relations related to these spaces.
Hongwei Jiao - One of the best experts on this subject based on the ideXlab platform.
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some inequalities concerning the weakly Convergent Sequence coefficient in banach spaces
Abstract and Applied Analysis, 2008Co-Authors: Hongwei Jiao, Yunrui GuoAbstract:We establish two inequalities concerning the weakly Convergent Sequence coefficient and other parameters, which enable us to obtain some sufficient conditions for normal structure.
Leroy Julien - One of the best experts on this subject based on the ideXlab platform.
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Generalized Pascal triangle for binomial coefficients of words
'Elsevier BV', 2017Co-Authors: Leroy Julien, Rigo Michel, Stipulanti ManonAbstract:We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subSequence of another finite word. Similarly to the Sierpi\'nski gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo $2$, we describe and study the first properties of the subset of $[0, 1] \times [0, 1]$ associated with this extended Pascal triangle modulo a prime $p$.Comment: 20 pages, 15 figure
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Generalized Pascal triangle for binomial coefficients of words
'Elsevier BV', 2016Co-Authors: Leroy Julien, Rigo Michel, Stipulanti ManonAbstract:peer reviewedaudience: researcherWe introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subSequence of another finite word. Similarly to the Sierpiński gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo 2, we describe and study the first properties of the subset of [0, 1] × [0, 1] associated with this extended Pascal triangle modulo a prime p
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Generalized Pascal triangle for binomial coefficients of words
2016Co-Authors: Leroy Julien, Rigo Michel, Stipulanti ManonAbstract:We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subSequence of another finite word. Similarly to the Sierpiński gasket that can be built as the limit set, for the Hausdorff distance, of a Convergent Sequence of normalized compact blocks extracted from Pascal triangle modulo 2, we describe and study the first properties of the subset of [0, 1] × [0, 1] associated with this extended Pascal triangle modulo a prime p.Peer reviewe
