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Просмотр по теме "Bessel function"

Просмотр по теме "Bessel function"

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  • Brezis-Marcus type inequalities with Lamb constant 
    Gaisayevich N. (2019)
    © 2019, Sobolev Institute of Mathematics. Hardy-type inequalities with an additional term are proved for compactly supported smooth functions on open convex sets in the Euclidean space. We obtain one-dimensional Lp-inequalities ...
  • Brezis–Marcus Problem and its Generalizations 
    Avkhadiev F.G. (2021)
    Certain Hardy inequalities in domains of Euclidean space contain sharp but unreachable constants. V. G. Maz’ya and other authors used this fact to improve the corresponding inequalities by adding new integral terms. In ...
  • Hardy and Rellich Type Inequalities with Remainders 
    Nasibullin R. (2021)
    Hardy and Rellich type inequalities with an additional term are proved for compactly supported smooth functions on open subsets of the Euclidean space. We obtain one-dimensional Hardy type inequalities and their multidimensional ...
  • Hardy type inequalities and parametric Lamb equation 
    Makarov R.V.; Nasibullin R.G. (2020)
    © 2020 Royal Dutch Mathematical Society (KWG) This paper is devoted to Hardy type inequalities with remainders for compactly supported smooth functions on open sets in the Euclidean space. We establish new inequalities ...
  • Hardy’s Inequalities with Remainders and Lamb-Type Equations 
    Nasibullin R.G.; Makarov R.V. (2020)
    © 2020, Pleiades Publishing, Ltd. We study Hardy-type integral inequalities with remainder terms for smoothcompactly-supported functions in convex domains of finite inner radius.New $ L_{1} $- and $ L_{p} $-inequalities ...
  • Inequalities Involving Fractional Integrals of a Function and Its Derivative 
    Nasibullin R. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. New inequalities for fractional integrals of a function and its derivative are proved. Lower estimates of weighted norms of the derivative through ...
  • Sharp Hardy type inequalities with weights depending on bessel function 
    Nasibullin R. (2017)
    © Nasibullin R.G. 2017. We prove exact Hardy type inequalities with the weights depending on a Bessel function. We obtain one-dimensional L p -inequalities and provide an example of extending these inequalities for the ...
  • Sharp Hardy type inequalities with weights depending on bessel function 
    Nasibullin R. (2016)
    © Nasibullin R.G. 2017.We prove exact Hardy type inequalities with the weights depending on a Bessel function. We obtain one-dimensional Lp-inequalities and provide an example of extending these inequalities for the case ...
  • Sharp Hardy-type inequalities with Lamb's constants 
    Avkhadiev F.; Wirths K. (2011)
    Let Ω be an n-dimensional convex domain with finite inradius δ 0 = sup xεΩ δ, where δ = dist(x,ρΩ), and let (p,q) be a pair of positive numbers. For functions vanishing at the boundary of the domain and any v € [0, p/q] ...
  • Weighted hardy inequalities with sharp constants 
    Avkhadiev F.; Wirths K. (2010)
    Using the Bessel functions we obtain several weighted Hardy inequalities with sharp constants. The following inequality for absolutely continuous functions is a simple example: If p and ν are positive numbers, and f: [0, ...
  • Weighted Hardy Type Inequalities and Parametric Lamb Equation 
    Makarov R.V.; Nasibullin R.G.; Shaymardanova G.R. (2020)
    © 2020, Pleiades Publishing, Ltd. This paper is devoted to weighted Hardy type inequalities. Using the Bessel functions, we prove one-dimensional inequalities and give some remarks on extensions of the one-dimensional ...
  • НЕРАВЕНСТВА, ВКЛЮЧАЮЩИЕ ВКЛЮЧАЮЩИЕ ДРОБНЫЕ ИНТЕГРАЛЫ ФУНКЦИИ И ЕЕ ПРОИЗВОДНУЮ 
    Насибуллин Рамиль Гайсаевич (2017)
    Доказаны новые неравенства, включающие дробные интегралы функции и ее произ- водную. Предварительно мы получаем нижние оценки весовых норм производной через выражения, зависящие от дробных интегралов Римана-Лиувилля.

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