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Ulam Stability of a Quartic Functional Equation [PDF]
Abstract and Applied Analysis, 2012 The oldest quartic functional equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. The functional equation 𝑓(2𝑥+𝑦)+𝑓(2𝑥−𝑦)=4𝑓(𝑥+𝑦)+4𝑓(𝑥−𝑦)+24𝑓(𝑥)−6𝑓(𝑦) is called a quartic functional equation, all of its solution is
Abasalt Bodaghi +2 more
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Fuzzy Stability Results of Generalized Quartic Functional Equations [PDF]
Mathematics, 2021 In the present paper, we introduce a new type of quartic functional equation and examine the Hyers–Ulam stability in fuzzy normed spaces by employing the direct method and fixed point techniques.
Sang Og Kim, Kandhasamy Tamilvanan
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Some implications of a quartic loss function [PDF]
SSRN Electronic Journal, 2006 Motivated by a central banker with a symmetric but non-quadratic loss function, we show in this note that the approximations of two plausible loss functions of this type will include a quartic term. For skewed distributions, we establish that such a loss
David Peel, Kevin Aretz
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General quartic β-function at three loops
Journal of High Energy PhysicsWe determine the three-loop MS ¯ $$ \overline{\textrm{MS}} $$ quartic β-function for the most general renormalisable four-dimensional theories. A general parametrisation of the β-function is compared to known β-functions for specific theories to fix all ...
Tom Steudtner, Anders Eller Thomsen
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Towards 4-point correlation functions of any 1/2-BPS operators from supergravity
Journal of High Energy Physics, 2017 The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S^5 is a starting point for computing the four-point correlation functions of arbitrary weight 1/2-BPS operators in N=4 ...
Arutyunov, Gleb +3 more
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Modulation instability in nonlinear media with sine-oscillatory nonlocal response function and pure quartic diffraction. [PDF]
Sci RepModulation instability of one-dimensional plane wave is demonstrated in nonlinear Kerr media with sine-oscillatory nonlocal response function and pure quartic diffraction.
Yang Y, Shen M.
europepmc +2 more sources
Value-distribution of quartic Hecke L-functions [PDF]
Moscow Journal of Combinatorics and Number Theory, 2021 Set $K=\mathbb{Q}(i)$ and suppose that $c\in \mathbb{Z}[i]$ is a square-free algebraic integer with $c\equiv 1 \imod{\langle16\rangle}$. Let $L(s, _{c})$ denote the Hecke $L$-function associated with the quartic residue character modulo $c$. For $ >1/2$, we prove an asymptotic distribution function $F_ $ for the values of the logarithm of \begin ...
Gao, Peng, Zhao, Liangyi
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General Cubic‐Quartic Functional Equation [PDF]
Abstract and Applied Analysis, 2011 We obtain the general solution and the generalized Hyers‐Ulam stability of the general cubic‐quartic functional equation for fixed integerskwithk≠ 0, ±1:f(x+ky) +f(x−ky) =k2(f(x+y) +f(x−y)) + 2(1 −k2)f(x)+((k4−k2)/4)(f(2y) − 8f(y)), where .
M. Eshaghi Gordji +2 more
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Moments of central values of quartic Dirichlet L-functions [PDF]
Journal of Number Theory, 2021 In this paper, we study moments of the central values of quartic Dirichlet $L$-functions and establish quantitative non-vanishing result for these $L$-values.
Gao, Peng, Zhao, Liangyi
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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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