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Hypoelliptic functional inequalities [PDF]

open access: yesMathematische Zeitschrift, 2018
In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups.
Ruzhansky, Michael   +1 more
core   +7 more sources

Testing functional inequalities [PDF]

open access: yesJournal of Econometrics, 2011
This paper develops tests for inequality constraints of nonparametric regression functions. The test statistics involve a one-sided version of L p-type functionals of kernel estimators.
Kyungchul Song   +2 more
core   +5 more sources

Functional inequalities for the Bickley function [PDF]

open access: yesMathematical Inequalities & Applications, 2013
In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
core   +5 more sources

Integral Inequalities Involving Strictly Monotone Functions

open access: yesMathematics, 2023
Functional inequalities involving special functions are very useful in mathematical analysis, and several interesting results have been obtained in this topic.
Mohamed Jleli, Bessem Samet
doaj   +1 more source

Sharp inequalities for coherent states and their optimizers

open access: yesAdvanced Nonlinear Studies, 2023
We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
doaj   +1 more source

Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups

open access: yesJournal of Function Spaces, 2023
In the paper, we introduce new ρ-functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved.
Gang Lu   +3 more
doaj   +1 more source

On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

open access: yesAxioms, 2021
In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane   +3 more
doaj   +1 more source

The logarithmic mean of two convex functionals

open access: yesOpen Mathematics, 2020
The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well.
Raïssouli Mustapha, Furuichi Shigeru
doaj   +1 more source

Delta-Convexity With Given Weights

open access: yesAnnales Mathematicae Silesianae, 2020
Some differentiability results from the paper of D.Ş. Marinescu & M. Monea [7] on delta-convex mappings, obtained for real functions, are extended for mappings with values in a normed linear space.
Ger Roman
doaj   +1 more source

Additive $ \rho $-functional inequalities in non-Archimedean 2-normed spaces

open access: yesAIMS Mathematics, 2021
In this paper, we solve the additive $ \rho $-functional inequalities:where $ \rho $ is a fixed non-Archimedean number with $ |\rho| < 1 $. More precisely, we investigate the solutions of these inequalities in non-Archimedean $ 2 $-normed spaces, and ...
Zhihua Wang   +2 more
doaj   +1 more source

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