Results 11 to 20 of about 152,222 (241)
On Jensen’s and the quadratic functional equations with involutions [PDF]
Proyecciones (Antofagasta), 2016 We determine the Solutions f : S → H of the generalized Jensen’s functional equation f( x + σ(y)) + f( x + τ(y)) = 2f(x), x , y∈ S and the solutions f : S → H of the generalized quadratic functional equation f ( x + σ(y)) + f (x + τ(y)) = 2f (x) + 2f (y),
B. Fadli +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.
P. Nakmahachalasint
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An alternative Jensen's functional equation on semigroups [PDF]
ScienceAsia, 2012 We study the alternative Jensen's functional equation f(x) 2f(xy) + f(xy 2 ) = 0 when f is a ...
P. Nakmahachalasint
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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 ...
P. Kostyrko
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Functional differential equations and Jensen's inequality☆ [PDF]
Journal of Mathematical Analysis and Applications, 1989 The authors study various types of stability of the functional differential equations \(x'(t)=F(t,x_ t)\) where \(x_ t(s)=x(t+s),\)- h\(\leq s\leq 0\), and h is a positive constant. The main tool is the Lyapunov functionals. These functionals satisfy certain conditions involving functions which verify Jensen's inequality.
Leigh C. Becker +2 more
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Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces [PDF]
, 2011 Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and taking values in Y.
A. Najati, J. Kang, Y. Cho
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On inequalities generalizing a Pythagorean functional equation and Jensen’s functional equation [PDF]
Pacific Journal of Mathematics, 1968 H. Haruki
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Jensen's functional equation on groups
Aequationes mathematicae, 1990 C. T. Ng
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On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups
Abstract and Applied Analysis, 2023 In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form
M. Sirouni, S. Kabbaj
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On a Jensen Type Functional Equation [PDF]
Journal of Applied Analysis, 2007 Suppose that \(M\) is a Abelian group in which the unique division by 2 and 3 is performable and \(S\) is an abstract cone satisfying the cancellation law. In this paper the author proves that if \(f:M\to S\) is a solution of the Jensen functional equation, then it is a solution of the following equation \[ 3(b-1) f\biggl(\frac{x+y+z}{3}\biggr)+ f(x)+f(
openaire +2 more sources