AbstractRecently we established Matysiak and Szablowski's conjecture [V. Matysiak, P.J. Szablowski, Theory Probab. Appl. 45 (2001) 711–713] about a lower bound of real-valued characteristic functions. In this paper, applying an alternative approach we are able to give explicitly the ranges of argument for which the obtained inequalities hold true for general characteristic functions
AbstractWe show that Sobolev–Poincaré and Trudinger inequalities improve to inequalities on Lorentz-...
AbstractIn this note we present some new and structural inequalities for digamma, polygamma and inve...
International audienceWe show that the remainder in Hölder's inequality (Rogers, 1888; Hölder, 1889)...
AbstractIn a recent paper, Matysiak and Szablowski [V. Matysiak, P.J. Szablowski, Theory Probab. App...
In this paper we study the existence of maximizers for two families of interpolation inequalities, n...
AbstractRecently we established Matysiak and Szablowski's conjecture [V. Matysiak, P.J. Szablowski, ...
AbstractWe prove an existence result for solutions of nonlinear elliptic unilateral problems having ...
AbstractWe prove that the following Turán-type inequality holds for Euler's gamma function. For all ...
In 2006 Carbery raised a question about an improvement on the naïve norm inequality ∥f+g∥^p_p ≤ 2^(p...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
AbstractErdös and Reddy (Adv. Math. 21 (1976) 78) estimated the lower bound in question to be 2.75−1...
AbstractIn this paper some new inequalities for the Čebyšev functional are presented. They have appl...
AbstractOur aim in this paper is to deal with Sobolev's type inequality, Hardy's type inequality and...
We study higher uniformity properties of the M\"obius function $\mu$, the von Mangoldt function $\La...
AbstractIt is proved that, besides the usual Muckenhoupt condition, there exist four different scale...
AbstractWe show that Sobolev–Poincaré and Trudinger inequalities improve to inequalities on Lorentz-...
AbstractIn this note we present some new and structural inequalities for digamma, polygamma and inve...
International audienceWe show that the remainder in Hölder's inequality (Rogers, 1888; Hölder, 1889)...
AbstractIn a recent paper, Matysiak and Szablowski [V. Matysiak, P.J. Szablowski, Theory Probab. App...
In this paper we study the existence of maximizers for two families of interpolation inequalities, n...
AbstractRecently we established Matysiak and Szablowski's conjecture [V. Matysiak, P.J. Szablowski, ...
AbstractWe prove an existence result for solutions of nonlinear elliptic unilateral problems having ...
AbstractWe prove that the following Turán-type inequality holds for Euler's gamma function. For all ...
In 2006 Carbery raised a question about an improvement on the naïve norm inequality ∥f+g∥^p_p ≤ 2^(p...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
AbstractErdös and Reddy (Adv. Math. 21 (1976) 78) estimated the lower bound in question to be 2.75−1...
AbstractIn this paper some new inequalities for the Čebyšev functional are presented. They have appl...
AbstractOur aim in this paper is to deal with Sobolev's type inequality, Hardy's type inequality and...
We study higher uniformity properties of the M\"obius function $\mu$, the von Mangoldt function $\La...
AbstractIt is proved that, besides the usual Muckenhoupt condition, there exist four different scale...
AbstractWe show that Sobolev–Poincaré and Trudinger inequalities improve to inequalities on Lorentz-...
AbstractIn this note we present some new and structural inequalities for digamma, polygamma and inve...
International audienceWe show that the remainder in Hölder's inequality (Rogers, 1888; Hölder, 1889)...
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