Results 11 to 20 of about 4,267,250 (176)
A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation [PDF]
Abstract and Applied Analysis, 2012 We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its ...
Jae-Hyeong Bae, Won-Gil Park
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On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces [PDF]
International Journal of Analysis and Applications, 2019 In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
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Cauchy-Schwartz Functionals [PDF]
, 2000 We treat a class of functionals which satisfy the Cauchy–Schwarz inequality. This appears to be a natural unifying concept and subsumes inter alia isotonic linear functionals and sublinear positive isotonic functionals.
Pearce, Charles +2 more
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Some Results Related to the Cauchy-Bunyakovsky-Schwarz Inequality [PDF]
, 2007 Some refinements and reverses of the Cauchy-Bunyakovsky-Schwarz inequality for the Lebesgue integral in measurable spaces are given.
Dragomir, Sever S, Barnett, Neil S
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On Some Inequalities of Cauchy-Bunyakovsky-Schwarz Type and Applications [PDF]
, 2007 Some discrete inequalities of Cauchy-Bunyakovsky-Schwarz type for complex numbers with applications for the maximal deviation of a sequence from its weighted mean are ...
Dragomir, Sever S, Sofo, Anthony
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On Cauchy’s functional equation [PDF]
Proceedings of the American Mathematical Society, 1965 for real-valued functions of a real variable. P. Erdos [2] asked, after learning about a preliminary result of S. Hartman [3], whether one obtains all functions satisfying (C) for almost all pairs (x, y) by simply redefining the functions satisfying (C) for all (x, y) in an arbitrary manner on sets of measure zero.
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Justification of the Cauchy-Born approximation of elastodynamics [PDF]
, 2013 We present sharp convergence results for the Cauchy-Born approximation of general classical atomistic interactions, for static problems with small data and for dynamic problems on a macroscopic time ...
Ortner, Christoph, Theil, Florian
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Cauchy–Jost function and hierarchy of integrable equations [PDF]
Theoretical and Mathematical Physics, 2015 Properties of the Cauchy--Jost (known also as Cauchy--Baker--Akhiezer) function of the KPII equation are described. By means of the $\bar\partial$-problem for this function it is shown that all equations of the KPII hierarchy are given in a compact and explicit form, including equations on the Cauchy--Jost function itself, time evolutions of the Jost ...
Boiti, M. +2 more
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On Cauchy‐type functional equations
International Journal of Mathematics and Mathematical Sciences, 2004 Let G be a Hausdorff topological locally compact group. Let M(G) denote the Banach algebra of all complex and bounded measures on G. For all integers n ≥ 1 and all μ ∈ M(G), we consider the functional equations , x, y ∈ G, where the functions f, {gi}, {hi}: G → ℂ to be determined are bounded and continuous functions on G.
Elqorachi Elhoucien, Mohamed Akkouchi
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A uniqueness result for the continuity equation in two dimensions [PDF]
, 2014 We characterize the autonomous, divergence-free vector fields $b$ on the plane such that the Cauchy problem for the continuity equation $\partial_t u + div(bu) = 0$ admits a unique bounded solution (in the weak sense) for every bounded initial datum; the
Crippa, Gianluca +8 more
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