paranormed space
Statistical convergence in a paranormed space
... The concept of statistical convergence for sequences of real numbers was introduced by Fast [1] and Steinhaus [2] independently in the same year 1951 and since then sev- eral generalizations and applications of this ...
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Functional equations and inequalities in paranormed spaces
... In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional equa- tion, the quadratic functional equation (.), the cubic functional equation (.) and the quartic functional equation (.) in ...
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Limit Theorems of Integrals with Respect to Vector Random Measures in Complete Paranormed Spaces
... Abstract: This paper studies random integral of the form ∫ gdM , where f is a function taking value in a paranormed vector space X, and M is an independent scattered vector random measure. Random integrals ...
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Functional equations and inequalities in matrix paranormed spaces
... In Section , we prove the Hyers-Ulam stability of Cauchy additive functional inequality (.) in matrix paranormed spaces. In Section , we prove the Hyers-Ulam stability of the Cauchy additive functional ...
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CHARACTERIZATIONS OF INFINITE MATRICES ON SOME PARANORMED SPACES
... A paranormed space whose topology is generated by a paranorm is a topological linear space, where is a real subadditive function on which satisfies , , , , and such that multiplication is ...
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On generalized difference lacunary statistical convergence in a paranormed space
... In order to extend convergence of sequences, the notion of statistical convergence was introduced by Fast [] and Steinhaus [] and several generalizations and applications of this concept have been investigated by ...
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A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... Throughout this paper, assume that (X ,P) is a Fr´echet space and (Y, || · ||) is a Banach space. One can easily show that an odd mapping f : X → Y satisfies (11) if and only if the odd mapping f : X → Y is ...
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Functional equations in paranormed spaces
... is called a quadratic functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic mapping. A Hyers-Ulam stability problem for the quadratic functional equation was ...
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On certain generalized paranormed spaces
... Kılıçman, A, Borgohain, S: Some new classes of generalized difference strongly summable n-normed sequence spaces defined by ideal convergence and Orlicz function.. Kılıçman, A, Borgohain, [r] ...
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An AQCQ functional equation in paranormed spaces
... is called a quadratic functional equation. In particular, every solution of the quadra- tic functional equation is said to be a quadratic mapping. A Hyers-Ulam stability pro- blem for the quadratic functional equation ...
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AQ-Functional Equation in Paranormed Spaces
... M.E.Gordji, H.Azadi kenary, H.Reazei, Y.W.Lee and G.H.Kim, Solution and Hyers-Ulam-Rassias Stability of Generalized mixed type additive and quadratic functional equations in Fuzzy Banach[r] ...
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Stability of an AQCQ functional equation in paranormed spaces
... is called a quadratic functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic mapping. A Hyers-Ulam stability problem for the quadratic functional equation was ...
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Vector valued sequence spaces generated by infinite matrices
... generates paranormed sequence spaces such as [A, P ] ∞ ((E k )), [A, P ] 0 ((E k )), and [A, P ](E) which generalize almost all the existing sequence spaces, such as l ∞ , c 0 , c, l p , w p , and several ...three ...
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Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix
... double sequential band matrix B(˜ r,˜ s) have recently been defined. In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of noncompactness of certain matrix operators on ...
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Space Law Space Communication Space Engineering Remote Sensing Space Science Space Education
... from space, and developments in sensor technology, satellite altimeters have brought about a revolution in the field of weather forecasting as they can measure atmospheric conditions using an onboard instrument ...
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The suprachoroidal space: from potential space to a space with potential
... suprachoroidal space, and the understanding of its clinical applications is currently being greatly ...suprachoroidal space, and its implication in various retinal ...suprachoroidal space to be an ...
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Target Space ≠ Space
... In the framework of elementary formal logic, in this interpretation duals are just related by a permutation of terms that induces a different formal interpretation with respect to a fixed domain, rather than any change ...
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Art & Space: Eva Petrič's Art Project for Space and in Space
... • Crew astronomy specialists Ludwig Pasenau: performed telescopic solar observation to prevent the crew from being exposed to radiation; was inspired by a video shooting of the sun and the atmospheric activity to develop ...
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All Space Will be Public Space
... Think back to 1999: “everyone” was on AOL them, or used AIM instant messaging. [31 CLICK TO “AOL”] Remember? AOL? 10 Yes, social media as we know it today will soon be in its death throes, like each of these other ...
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Whose space is it anyway? Learning about space to make space to learn
... perceived space in that staff make judgements on Georgina's behalf as well as an emphasis on the conceived space in terms of what is meant to occur in this educational setting (Plows, Bottrell and Te Riele ...
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