Results 21 to 30 of about 22,610 (167)
Approximation of involution in multi-Banach algebras: Fixed point technique
AIMS Mathematics, 2021 In this research work, we demonstrate the Hyers-Ulam stability for Cauchy-Jensen functional equation in multi-Banach algebras by the fixed point technique. In fact, we prove that for a function which is approximately Cauchy-Jensen in multi Banach algebra,
Ehsan Movahednia +2 more
doaj +1 more source
Asymptotic behaviour of neutral differential equations of third-order with negative term
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We derive new comparison theorems and oscillation criteria for neutral differential equations of third order with negative term. We show that one can deduce oscillation criteria for the equation with negative term from those for the equation with ...
Zuzana Dosla, Petr Liška
doaj +1 more source
Mutually homogeneous functions I. Matrices of the finite size
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2020 This publication continues the study of the properties of Euler homogeneous functions that can be used in the synthesis of electric and magnetic fields of electron and ion-optical systems to carry out spectrographic mode record.
Berdnikov Alexander +2 more
doaj +1 more source
Problems of Lithuanian mathematical olympiad’07
Lietuvos Matematikos Rinkinys, 2021 The problems of the Lithuanian school olympiad-2007 are presented and solutions are given.
Juozas Juvencijus Mačys
doaj +1 more source
Conjugate functions, L^{p}-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity [PDF]
Opuscula Mathematica, 2014 For \(h:(0,\infty )\rightarrow \mathbb{R}\), the function \(h^{\ast }\left( t\right) :=th(\frac{1}{t})\) is called \((\ast)\)-conjugate to \(h\). This conjugacy is related to the Hölder and Minkowski inequalities.
Janusz Matkowski
doaj +1 more source
Axiomatic Characterizations of Information Measures
Entropy, 2008 Axiomatic characterizations of Shannon entropy, Kullback I-divergence, and some generalized information measures are surveyed. Three directions are treated: (A) Characterization of functions of probability distributions suitable as information measures. (
Imre Csiszár
doaj +1 more source
Mahgoub transform and Hyers-Ulam stability of nth order linear differential equations
AIMS Mathematics, 2022 The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of $ n^{th} $ order with constant coefficients using the Mahgoub transform method.
S. Deepa +5 more
doaj +1 more source
On a Functional-Equation of A. Hurwitz
Advances in Mathematics, 1995 The paper deals with the equation \((*)\) \(G'(z) = 2 \pi ie^{2 \pi iz} G(z + 1)\) and its adjoint equation \(F'(z) = - 2 \pi ie^{2 \pi iz} F(z - 1)\) in the complex domain. It is shown that \(G_ 0(z) = \int e^{-2 \pi iuz + \pi iu^ 2} \Gamma (u) du\) and \(F_ 0(z) = \int e^{2 \pi izu - \pi iu^ 2} \Gamma^{-1} (1 + u) du\) with integration over suitable ...
Carlos A. Berenstein, A. Sebbar
openaire +3 more sources
Mathematics, 2022 In this paper, we give some properties of the bi-Jensen functional equation and investigate its Hyers–Ulam stability and hyperstability. We construct a function which is bi-Jensen and is not continuous.
Jae-Hyeong Bae +2 more
doaj +1 more source
Functional Equations for Polynomials [PDF]
Proceedings of the American Mathematical Society, 1977 The set of all continuous symmetric multilinear forms of degree m on a real topological vector space V are shown to be in one-to-one correspondence with the family of continuous scalar-valued functions on V satisfying a certain functional equation. If V is n-dimensional, these functions are precisely those which can be represented by m-homogeneous ...
Bruce Dearden, Kelly McKennon
openaire +2 more sources