Results 21 to 30 of about 148,619 (245)
On some inequalities for the approximation numbers of the sum and product of operators
Journal of Numerical Analysis and Approximation Theory, 2005 We prove the inequalities:\begin{equation}\textstyle\sum\limits_{n=1}^{k} a_{n} \left(\textstyle\sum\limits_{i=1}^{r} S_{i}\right) \le r\textstyle\sum\limits_{n=1} ^{k}\, \textstyle\sum\limits_{i=1}^{r}a_{n}(S_{i}),\end{equation}\begin{equation ...
Nicolae Tiţa
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Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
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EXACT APPROXIMATIONS OF OMEGA NUMBERS [PDF]
International Journal of Bifurcation and Chaos, 2007 A Chaitin Omega number is the halting probability of a universal prefix-free Turing machine. Every Omega number is simultaneously computably enumerable (the limit of a computable, increasing, converging sequence of rationals), and algorithmically random (its binary expansion is an algorithmic random sequence), hence uncomputable. The value of an Omega
Calude, Cristian S., Dinneen, Michael J.
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Journal of Applied Mathematics, 2014 Taking into account that interval-valued fuzzy numbers can provide more flexibility to represent the imprecise information and interval-valued trapezoidal fuzzy numbers are widely used in practice, this paper devotes to seek an approximation operator ...
Zengtai Gong, Shexiang Hai
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Indexing the approximate number system [PDF]
Acta Psychologica, 2014 Much recent research attention has focused on understanding individual differences in the approximate number system, a cognitive system believed to underlie human mathematical competence. To date researchers have used four main indices of ANS acuity, and have typically assumed that they measure similar properties. Here we report a study which questions
Matthew, Inglis, Camilla, Gilmore
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A theorem on diophantine approximations
Lietuvos Matematikos Rinkinys, 1998 A result is proved on approximation of irrational numbers by rational ones, satisfying some requirements on their multiplicative structure. The statement is comparable with that one on diophantine approximations with square-free integers.
Vilius Stakėnas
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The Theoretical Framework on Approximation of Neutrosophic Numbers and Their Application [PDF]
Neutrosophic Sets and SystemsNeutrosophic sets are effectual logic represented to understand ambiguous and inconsistent infor mation. They are frequently used to explain many types of partial or incomplete information.
Augus Kurian +2 more
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AxiomsIn this paper, we study the spectral properties of a class of degenerate third-order partial differential operators with variable coefficients presented in a rectangle. Conditions are found to ensure the existence and compactness of the inverse operator.
Mussakan Muratbekov +2 more
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Diophantine Approximation by Prime Numbers, I [PDF]
Proceedings of the London Mathematical Society, 1974 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135627/1/plms0177 ...
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Results of the Childhood Cancer and Leukaemia Group's United Kingdom Relapsed Wilms Tumour Trial
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The United Kingdom relapsed Wilms tumour (UKW‐R) trial aimed to improve the historically low survival rates after relapse of Wilms tumour (WT) through a prospective national risk‐stratified protocol. The trial also evaluated efficacy and toxicity of high‐dose melphalan.
Sucheta J. Vaidya +10 more
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