Results 11 to 20 of about 1,144 (174)
The stability of the quartic functional equation in various spaces
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reza Saadati, Javad Vahidi
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Stability of Quartic Functional Equation in Modular Spaces via Hyers and Fixed-Point Methods
Mathematics, 2022 In this work, we introduce a new type of generalised quartic functional equation and obtain the general solution. We then investigate the stability results by using the Hyers method in modular space for quartic functional equations without using the ...
Syed Abdul Mohiuddine +3 more
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Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces [PDF]
Abstract and Applied Analysis, 2011 We prove the Hyers-Ulam stability of the additive-cubic-quartic functional equation in multi-Banach spaces by using the fixed point alternative method. The first results on the stability in the multi-Banach spaces were presented in (Dales and Moslehian ...
Zhihua Wang +2 more
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Journal of Function Spaces, 2021 In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.
Nazek Alessa +4 more
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Approximation of Mixed Euler-Lagrange σ-Cubic-Quartic Functional Equation in Felbin’s Type f-NLS
Journal of Function Spaces, 2021 In this research paper, the authors present a new mixed Euler-Lagrange σ-cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to the ...
John Michael Rassias +3 more
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The Mixed Cubic-Quartic Functional Equation
Annals of the Alexandru Ioan Cuza University - Mathematics, 2015 AbstractIn this paper, we obtain the general solution of the following generalized mixed cubic and quartic functional equation f(x + kx) + f(x − ky) = k2{f(x + y) + f(x−y)}−2(k2−1)f(x)−2k2(k2−1)f(y)+ 1/4 k2(k2−1)f(2y), for fixed integers k with k ≠ 0,±1. The Hyers-Ulam stability problem for the mentioned functional equation is also proved.
Bodaghi, A., Kang, D., Rassias, J. M.
openaire +3 more sources
Journal of Mathematics, 2022 In this study, we use the alternative fixed-point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation gu+mv+gu−mv=2m−17m−9gu+2m2−1m2gv−m−12g2u+m2gu+v+gu−v, with a fixed positive integer m/ge2
Ravinder Kumar Sharma, Sumit Chandok
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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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Random Stability of an Additive-Quadratic-Quartic Functional Equation
Journal of Inequalities and Applications, 2010 Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x−2y)=2f(x+y)+2f(−x−y)+2f(x−y)+2f(y−x)−4f(−x)−2f(
R. Saadati +4 more
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Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation [PDF]
Journal of Function Spaces and Applications, 2013 We consider the following mixed type cubic and quartic functional equation = where is a fixed integer. We establish the general solution of the functional equation when the integer , and then, by using the fixed point alternative, we investigate the ...
Xiaopeng Zhao +2 more
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