Results 1 to 10 of about 4,701,227 (283)
A Multidimensional Functional Equation Having Quadratic Forms as Solutions [PDF]
Journal of Inequalities and Applications, 2007 We obtain the general solution and the stability of the -variable quadratic functional equation The quadratic form is a solution of the given functional equation.
Bae Jae-Hyeong, Park Won-Gil
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Journal of Function Spaces, 2021 In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean n,β-normed spaces.
Nazek Alessa +3 more
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The Stability of a Quadratic Functional Equation with the Fixed Point Alternative
Abstract and Applied Analysis, 2009 Lee, An and Park introduced the quadratic functional equation f(2x+y)+f(2x−y)=8f(x)+2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias.
Choonkil Park, Ji-Hye Kim
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Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
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Mathematics, 2022 In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix ...
Kandhasamy Tamilvanan +3 more
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Stability of generalized quadratic functional equation on a set of measure zero [PDF]
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation ∑ k ∈ K f(x+ k.y)= Lf(x)+ Lf(y), x,y ∈ E, where E is a real (or complex) vector space.
Youssef Aribou +3 more
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Characterization and stability analysis of advanced multi-quadratic functional equations
Advances in Difference Equations, 2021 In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable.
Abasalt Bodaghi +2 more
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Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations
Journal of Function Spaces, 2022 The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi +2 more
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A New Approach to Hyers-Ulam Stability of r-Variable Quadratic Functional Equations
Journal of Function Spaces, 2021 In this paper, we investigate the general solution of a new quadratic functional equation of the form ∑1 ...
Vediyappan Govindan +4 more
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International Journal of Mathematics and Mathematical Sciences, 2023 In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
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