Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces [PDF]
Abstract and Applied Analysis, 2013 We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when .
Heejeong Koh, Dongseung Kang
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Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces [PDF]
Abstract and Applied Analysis, 2009 We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces.
M. Eshaghi Gordji +3 more
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A GENERALIZED ADDITIVE-QUARTIC FUNCTIONAL EQUATION AND ITS STABILITY
Bulletin of the Korean Mathematical Society, 2015 An(x1, x2, . . . , xn) = An(xπ(1), xπ(2), . . . , xπ(n)) for every permutation {π(1), π(2), . . . , π(n)} of {1, 2, . . . , n} where n is a positive number, then a function An is called symmetric. Denote the diagonal element An(x, x, . . . , x) by A (x) if An(x1, x2, . . .
CHARINTHIP HENGKRAWIT +1 more
exaly +3 more sources
A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
Fixed Point Theory and Applications, 2010 Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation in Banach spaces.
Kim Ji-hye, Park Choonkil, Lee JungRye
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A Note to Paper "On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces"
Journal of Inequalities and Applications, 2009 Recently, Baktash et al. (2008) proved the stability of the cubic functional equation and the quartic functional equation in random normed spaces. In this note, we correct the proofs.
Cho YJ, Saadati R, Vaezpour SM
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Nonlinear approximation of an ACQ-functional equation in nan-spaces
Fixed Point Theory and Applications, 2011 In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of an additive-cubic-quartic functional equation in NAN-spaces. Mathematics Subject Classification (2010) 39B52·47H10·26E30·46S10·
Lee Jung +2 more
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Quadratic-Quartic Functional Equations in RN-Spaces [PDF]
Journal of Inequalities and Applications, 2009 11 ...
Choonkil Park +2 more
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Stability of Quartic Functional Equations in the Spaces of Generalized Functions [PDF]
Advances in Difference Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee Y.-S., Chung S.-Y.
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A Remark for the Hyers–Ulam Stabilities on n-Banach Spaces
Axioms, 2020 In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional ...
Jaeyoo Choy, Hahng-Yun Chu, Ahyoung Kim
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Freeze-Drying <i>Chlorella vulgaris</i> by Using Aquafaba, Deactivated Yeast, Inulin and Maltodextrin. [PDF]
Food Sci NutrThis study investigates the freeze‐drying efficiency of Chlorella vulgaris cultivated in a photobioreactor, utilizing novel and traditional carrier agents including aquafaba, deactivated yeast, inulin, and maltodextrin. The findings highlight the comparative effects of these matrices on the structural integrity and physical properties of the microalgae
Tamtürk F +6 more
europepmc +2 more sources