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On integro quartic spline interpolation
In this paper, we use quartic B-spline to construct an approximating function to agree with the given integral values of a univariate real-valued function over the same intervals. It is called integro quartic spline interpolation.
Xu, Xiao-Ping, Lang, Feng-Gong
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Stability of a quartic functional equation
Journal of Fixed Point Theory and Applications, 2018The authors introduce an {\(n\)-dimensional quartic functional equation} and show that this new equation generalizes some known {quartic functional equations}. The main task of the paper is to verify the stability (in the Ulam-Hyers sense) of the \(n\)-dimensional quartic equation for mappings between a normed space and a Banach space. Two such results
Sandra Pinelas +2 more
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GLOBAL ZETA FUNCTIONS OF FREUDENTHAL QUARTICS
International Journal of Mathematics, 2002We give two applications of an explicit formula for global zeta functions of prehomogeneous vector spaces in Math. Ann.315 (1999), 587–615. One is concerned with an explicit form of global zeta functions associated with Freudenthal quartics, and the other the comparison of the zeta function of a unsaturated prehomogeneous vector space with that of the
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The use of quartic splines in the numerical solution of a fourth-order boundary value problem
This paper derives via uniform quartic polynomial splines a few new consistency relations connecting the quartic spline function values at midknots and the corresponding values of the second and fourth derivatives, respectively.
Riaz A Usmani
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SHAPE PRESERVING RATIONAL QUARTIC FRACTAL FUNCTIONS
Fractals, 2019The appearance of fractal interpolation function represents a revival of experimental mathematics, raised by computers and intensified by powerful evidence of its applications. This paper is devoted to establish a method to construct [Formula: see text]-fractal rational quartic spline, which eventually provides a unified approach for the ...
Katiyar, S. K., Chand, A. K. B.
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ON STABILITY OF A-QUARTIC FUNCTIONAL EQUATIONS IN RANDOM NORMED SPACES
jnanabha, 2023In this paper, we shall prove the generalized Hyers-Ulam stability of the additive-quartic functional equation introduced by C. Muthamilarasi et al. [11] in Random Normed spaces by using direct and fixed-point methods.
Kumar, Manoj, Kumar, Anil, Amrit
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The Stability of the Quartic Functional Equation in Random Normed Spaces
Acta Applicandae Mathematicae, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miheţ, D., Saadati, R., Vaezpour, S. M.
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Quartic functional equations in Lipschitz spaces
Rendiconti del Circolo Matematico di Palermo (1952 -), 2015The stability of quartic functional equations in Lipschitz norms is verified.
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ELEMENTARY QUARTIC FUNCTIONS AND SETS THEY FORM
2018Впервые замечено, что функциональный ряд разложения экспоненты разбивается на четыре ряда, определяющие элементарные квартовые функции: А(x) и С(x) (четные), В(x) и D(x) (нечетные) c простыми взаимосвязями между производными. Этими элементами образуются многие известные и неизвестные функции (непериодические, периодические, и «кентавры», состоящие из ...
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