Results 1 to 10 of about 1,111,321 (239)
On a Functional Equation [PDF]
The Quarterly Journal of Mathematics, 1960 We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2).The problem is to obtain the most general function f(x) which, for all positive integral values of m, n, satifies the ...
T. W. Chaundy, J. B. McLeod
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A general functional equation [PDF]
Transactions of the American Mathematical Society, 1957 J. H. B. Kemperman
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Minimum functional equation and some Pexider-type functional equation on any group
AIMS Mathematics, 2021 We discuss the solution to the minimum functional equation $ \begin{align} \min \{\, \eta(xy^{-1}), \eta(xy) \, \} = \eta(x)\eta(y), \qquad x, y \in G, \end{align} $ for a real-valued function $ \eta: G \to \mathbb{R} $ defined on arbitrary ...
Muhammad Sarfraz, Yongjin Li
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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
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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
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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
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Functional extreme learning machine
Frontiers in Computational Neuroscience, 2023 IntroductionExtreme learning machine (ELM) is a training algorithm for single hidden layer feedforward neural network (SLFN), which converges much faster than traditional methods and yields promising performance.
Xianli Liu +6 more
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Counting Lattice Paths by Using Difference Equations with Non-constant Coefficients
Известия Иркутского государственного университета: Серия "Математика", 2023 The lattice paths can be counted by the virtue of their step vectors that are aligned to the positive octant. A path can go from one point to an infinite others if there is no restriction applied such that each point only has finitely many predecessors ...
S. Chandragiri
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Functional equations and martingales [PDF]
Aequationes mathematicae, 2021 We consider functional equations (Cauchy's, Abel's and some other functional equations) and show that to find general solution of these equations is equivalent to establish that a space-transformation of a Brownian Motion by suitable function (or functions) is a martingale.
M. Mania, L. Tikanadze
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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
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