Results 31 to 40 of about 346 (49)

A Sharp Double Inequality for the Inverse Tangent Function [PDF]

, 2013
The inverse tangent function can be bounded by different inequalities, for example by Shafer's inequality. In this publication, we propose a new sharp double inequality, consisting of a lower and an upper bound, for the inverse tangent function.
Alirezaei, Gholamreza
core   +1 more source

A note on some Poincar\'e inequalities on convex sets by Optimal Transport methods

, 2015
We show that a class of Poincar\'e-Wirtinger inequalities on bounded convex sets can be obtained by means of the dynamical formulation of Optimal Transport. This is a consequence of a more general result valid for convex sets, possibly unbounded.Comment:
Brasco, Lorenzo, Santambrogio, Filippo
core   +2 more sources

Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Annales Mathematicae Silesianae
In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely
Páles Zsolt, Pasteczka Paweł
doaj   +1 more source

Complete positivity order and relative entropy decay

Forum of Mathematics, Sigma
We prove that for a GNS-symmetric quantum Markov semigroup, the complete modified logarithmic Sobolev constant is bounded by the inverse of its complete positivity mixing time.
Li Gao, Marius Junge, Nicholas LaRacuente, Haojian Li   +3 more
doaj   +1 more source

Some new bounds of Chebyshev and Grüss-type functionals on time scales

Applied Mathematics in Science and Engineering
In this work, Korkine and Sonin's identities are defined on arbitrary time scales. These identities are utilized to establish the Chebyshev and Grüss-type inequalities on time scales.
Ammara Nosheen, Khuram Ali Khan, Muhammad Kashif, Rostin Matendo Mabela   +3 more
doaj   +1 more source

Hyers-Ulam stability of Davison functional equation on restricted domains

Demonstratio Mathematica
In this article, we study the Hyers-Ulam stability of Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y)f\left(xy)+f\left(x+y)=f\left(xy+x)+f(y) on some unbounded restricted domains.
Park Choonkil, Tareeghee Mohammad Amin, Najati Abbas, Noori Batool   +3 more
doaj   +1 more source

Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals

Applied Mathematics in Science and Engineering
In this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated.
Khuram Ali Khan, Iqra Ikram, Ammara Nosheen, Ndolane Sene, Y. S. Hamed   +4 more
doaj   +1 more source

Super-Poincar\'e and Nash-type inequalities for Subordinated Semigroups [PDF]

, 2012
We prove that if a super-Poincar\'e inequality is satisfied by an infinitesimal generator $-A$ of a symmetric contracting semigroup then it implies a corresponding super-Poincar\'e inequality for $-g(A)$ with any Bernstein function $g$. We also study the
Gentil, Ivan, Maheux, Patrick
core   +1 more source

Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]

Heliyon, 2023
Mahmood A, Srivastava HM, Abbas M, Abdullah FA, Othman Mohammed P, Baleanu D, Chorfi N.   +6 more
europepmc   +1 more source

Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]

Rev Mat Complut, 2022
Yang ZH, Tian JF.
europepmc   +1 more source