Results 11 to 20 of about 1,205 (159)

Strengthened inequalities for the mean width and the ℓ‐norm

Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021
Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky, Ferenc Fodor, Daniel Hug   +2 more
wiley   +1 more source

From Hardy to Rellich inequalities on graphs

Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021
Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski   +2 more
wiley   +1 more source

Schur-power convexity of integral mean for convex functions on the coordinates

Open Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
doaj   +1 more source

Some mixed weak type inequalities

Journal of Mathematical Inequalities, 2021
. We study mixed weak type (1,1) weighted inequalities for the Hardy averaging opera- tor, T . This type of have the where C is independent of f and c . We improve the results in [Q. J. Math. 60 (2009), no.
M. Lorente, F. J. Martín-Reyes
semanticscholar   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis

Annals of Mathematics and Physics
In the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer type inequalities for h-convex functions defined on the co-ordinates of a ...
Toseef Muhammad, Zhiyue Zhang, Mateen Abdul, Budak Hüseyin, Kashuri Artion   +4 more
semanticscholar   +1 more source

Refinement of the Jensen integral inequality

Open Mathematics, 2016
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru, Adil Khan Muhammad, Abathun Addisalem   +2 more
doaj   +1 more source

A new note on factored infinite series and trigonometric Fourier series

, 2021
In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
H. Bor
semanticscholar   +1 more source

On boundedness and compactness of a certain class of kernel operators

Journal of Function Spaces, Volume 9, Issue 1, Page 67-107, 2011., 2011
New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p, q < ∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Elena P. Ushakova, Oleg V. Besov
wiley   +1 more source

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals

, 2017
In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
semanticscholar   +1 more source