Results 21 to 30 of about 4,236,155 (127)
Functional and Operator Variants of Jensen's, Chord's, and Mercer's Inequality [PDF]
, 2013 The paper examines functional and operator variants of Jensen's, chord's, and Mercer's inequality with a convex function on the interval of real numbers.
Pavia, Zlatko
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Hyperstability of Cauchy–Jensen functional equations
Indagationes Mathematicae, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
EL-Fassi, Iz-iddine +2 more
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Local stability of the additive functional equation [PDF]
, 2003 In this paper, we prove the Hyers-Ulam stability of the additive functional equation for a number of unbounded domains.
Jung, Soon-Mo
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Fuzzy Stability of Jensen‐Type Quadratic Functional Equations [PDF]
Abstract and Applied Analysis, 2009 We prove the generalized Hyers‐Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x − y)/2) = f(x) + f(y) and f(ax + ay) + (ax − ay) = 2a2f(x) + 2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a ≠ ±1/2.
Jang, Sun-Young +3 more
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The Applications of Functional Variants of Jensen's Inequality [PDF]
, 2013 The paper is inspired by McShane's results on the functional form of Jensen's inequality for convex functions of several variables. The work is focused on applications and generalizations of this important result. At that, the generalizations of Jensen's
Zlatko Pavić
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On a Cauchy–Jensen functional equation and its stability
Journal of Mathematical Analysis and Applications, 2006 A mapping \(f\) is called Cauchy-Jensen if it satisfies the system of functional equations \(f(x+y, z)=f(x, z)+f(y, z)\) and \(2f(x, \frac{y+z}{2})=f(x, y) + f(x, z)\). The authors show that a mapping \(f\) is Cauchy-Jensen if and only if \(2f(x+y, \frac{z+w}{2})= f(x, z)+f(x, w)+f(y, z)+f(y, w)\).
Park, Won-Gil, Bae, Jae-Hyeong
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A Generalization of the Hyers–Ulam–Rassias Stability of Jensen's Equation [PDF]
, 1999 In this paper we prove a generalization of the stability of the Jensen's equation in the spirit of Hyers, Ulam, Rassias, and ...
Jun, Kil-Woung, Lee, Yang-Hi
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Stability of a Bi-Jensen Functional Equation II
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee Yang-Hi, Jun Kil-Woung, Jung Il-Sook
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Analytical and numerical investigation of mixed-type functional differential equations [PDF]
, 2009 NOTICE: this is the author’s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J. +3 more
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JENSEN'S FUNCTIONAL EQUATION IN MULTI-NORMED SPACES
Taiwanese Journal of Mathematics, 2010 Let \(E\) be a linear space and let \((F^n,\|\cdot\|_{n})_{n\in\mathbb{N}}\) be a multi-Banach space. In such a setting, the Hyers-Ulam stability of Jensen's functional equation is proved. Suppose that a mapping \(f: E\to F\) is an approximate solution of Jensen's equation, i.e., \(f(0)=0\) and, with some \(\alpha\geq 0\), \[ \sup_{k\in\mathbb{N ...
Moslehian, M. S., Srivastava, H. M.
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