Results 1 to 10 of about 5,422,793 (299)
Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group
Advances in Nonlinear Analysis, 2023 In this article, we establish some reverse weighted Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. We then show the existence of extremal functions for the above inequalities by combining the subcritical approach and the renormalization ...
Hu Yunyun
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Entropy of an extremal electrically charged thin shell and the extremal black hole
Physics Letters B, 2015 There is a debate as to what is the value of the entropy S of extremal black holes. There are approaches that yield zero entropy S=0, while there are others that yield the Bekenstein–Hawking entropy S=A+/4, in Planck units.
José P.S. Lemos +2 more
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On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions
Algorithms, 2022 The present work is devoted to the construction of optimal quadrature formulas for the approximate calculation of the integrals ∫02πeiωxφ(x)dx in the Sobolev space H˜2m.
Kholmat Shadimetov +2 more
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Extremal orders of some functions connected to regular integers modulo n
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let V (n) denote the number of positive regular integers (mod n) less than or equal to n. We give extremal orders of , , , , where σ(n), ψ(n) are the sum-of-divisors function and the Dedekind function, respectively. We also give extremal orders for and ,
Brăduţ Apostol
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Nuclear Physics B, 2019 The thermodynamics and weak cosmic censorship conjecture in Reissner-Nordström anti-de Sitter black holes are investigated by the scattering of the scalar field.
Deyou Chen, Wei Yang, Xiaoxiong Zeng
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Theorem on the Structure of the Fractionally Linear Functional Extremal Function
Mathematics, 2023 The paper proves a theorem about the structure of the distribution function on which the extremum of the fractionally linear functional is reached in the presence of an uncountable number of linear constraints.
Victor Kashtanov +2 more
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On some interconnections between combinatorial optimization and extremal graph theory [PDF]
Yugoslav Journal of Operations Research, 2004 The uniting feature of combinatorial optimization and extremal graph theory is that in both areas one should find extrema of a function defined in most cases on a finite set.
Cvetković Dragoš M. +2 more
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Time Eigenstates for Potential Functions without Extremal Points
Entropy, 2013 In a previous paper, we introduced a way to generate a time coordinate system for classical and quantum systems when the potential function has extremal points.
Gabino Torres-Vega
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Extremal problems related to convexity
Journal of Inequalities and Applications, 2016 We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition ψ on a product of the unit ball with itself, with the ℓ p $\ell^{p}$ -norm. In 1986, Burkholder explicitly found the
Aimo Hinkkanen, Sineenuch Suwannaphichat
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