Results 31 to 40 of about 4,236,155 (127)
STABILITY OF THE JENSEN FUNCTIONAL EQUATION IN FUZZY BANACH ALGEBRAS [PDF]
Korean Journal of Mathematics, 2012 Summary: In this paper, we prove the Hyers-Ulam stability of the Jensen functional equation in fuzzy Banach algebras by using fixed point method and by using direct method.
Lee, Jung Rye, Shin, Dong Yun
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NOTE ON JENSEN AND PEXIDER FUNCTIONAL EQUATIONS
Demonstratio Mathematica, 1999 The Jensen functional equation \[ 2f\left({x+y \over 2}\right) =f(x)+f(y) \tag{1} \] is solved in the case where \(f:M\to S\), \(M\) is an Abelian semigroup with the division by \(2,S\) is an abstract convex cone satisfying the cancellation law. The result when applied to a set-valued version of (1) (where \(f\) takes values from the set \(ccl(X)\) of ...
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Asymptotic behavior of alternative Jensen and Jensen type functional equations
Bulletin des Sciences Mathématiques, 2005 Let \(X\) be a real normed space and \(Y\) be a real Banach space. A mapping \(A : X \to Y\) is called (i) alternative additive of the first form if \(A(x + y) + A(x - y) = -2A(-x)\); (ii) alternative additive of the second form if \(A(x + y) - A(x - y) = -2A(-y)\); (iii) alternative Jensen if \(A( - \frac{x + y}{2}) = - \frac{1}{2}(A(x) + A(y))\); (iv)
Rassias, J.M., Rassias, M.J.
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Jensen's inequality for filtration consistent nonlinear expectation without domination condition [PDF]
, 2008 In this paper, the general filtration consistent nonlinear expectation defined on the integrable variable space is considered, based on the results in [F. Coquet, Y. Hu, J. Memin, S.
Fan, Sheng-Jun
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Stability of a Jensen type functional equation
Banach Journal of Mathematical Analysis, 2007 The authors solve the following Jensen type functional equation \[ mf\left(\frac{x+y+z}{m}\right)+f(x)+f(y)+f(z)= n \left[ f\left(\frac{x+y}{n}\right) + f\left(\frac{y+z}{n}\right) + f\left(\frac{z+x}{n}\right)\right], \] where \(m\) and \(n\) are nonnegative integers with \((m,n)\neq (1,1)\).
Lee, Young-Su, Chung, Soon-Yeong
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On a local form of Jensen's functional equation
Aequationes Mathematicae, 1985 A function f:(a,b)\(\rightharpoonup R\) is said to be locally Jensen at \(x\in (a,b)\) if there exists \(\delta >0\) such that (1) \(1/2(f(x+h)+f(x- h))=f(x)\) holds for ...
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ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION
Communications of the Korean Mathematical Society, 2008 In this paper, we prove the stability of a Cauchy-Jensen functional equation =f(x, z)+f(x, w)+f(y, z)+f(y, w) in the sense of Th. M. Rassias.
Kil-Woung Jun +2 more
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Extended Jensen's Functional for Diamond Integral via Hermite Polynomial
In this paper, with the help of Hermite interpolating polynomial, extension of Jensen's functional for n-convex function is deduced from Jensen's inequality involving diamond integrals.
Nosheen A. +3 more
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Stability of an alternative Jensen's functional equation [PDF]
ScienceAsia, 2013 We prove the Hyers-Ulam stability of an alternative Jensen's functional equation(f(x)+f(y))=2 = f((x+ y)=2) in the class of mappings from 2-divisible abelian groups to Banach spaces.
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On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]
, 2010 This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
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