Results 11 to 20 of about 68 (67)

On Friedrichs-type inequalities in domains rarely perforated along the boundary [PDF]

open access: yes, 2011
This article is devoted to the Friedrichs inequality, where the domain is periodically perforated along the boundary. It is assumed that the functions satisfy homogeneous Neumann boundary conditions on the outer boundary and that they vanish on the ...
Lars-Erik Persson   +5 more
core   +2 more sources

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

Generalized functional inequalities in Banach spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
doaj   +1 more source

Local stability of the additive functional equation and its applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 15-26, 2003., 2003
The main purpose of this paper is to prove the Hyers‐Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen′s functional equation for a large class of restricted domains.
Soon-Mo Jung, Byungbae Kim
wiley   +1 more source

On the characterization of Jensen m-convex polynomials

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
The main objective of this research is to characterize all the real polynomial functions of degree less than the fourth which are Jensen m-convex on the set of non-negative real numbers. In the first section, it is established for that class of functions
Lara Teodoro   +3 more
doaj   +1 more source

Conditionally approximately convex functions

open access: yesDemonstratio Mathematica, 2016
Let X be a real normed space, V be a subset of X and α: [0, ∞) → [0, ∞] be a nondecreasing function. We say that a function f : V → [−∞, ∞] is conditionally α-convex if for each convex combination ∑i=0ntivi$\sum\nolimits_{i = 0}^n {t_i v_i }$ of ...
Najdecki Adam, Tabor Józef
doaj   +1 more source

New integral inequalities of Hermite–Hadamard type in a generalized context

open access: yes, 2021
In this paper, we obtained new integral inequalities of theHermite–Hadamard type for convex and quasi–convex functions in a generalizedcontext.AMS (MOS) Subject Classification Codes:26D10, 26A51, 39B62, 26A33Key Words: Hermite–Hadamard ...
Juan Eduardo Napoles Valdes; UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400   +2 more
core  

Numerical Investigation of Fractional Third-Order Differential Equation Using Quartic B-Spline Functions

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool   +4 more
doaj   +1 more source

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi   +3 more
wiley   +1 more source

Weighted Ostrowski-Grüss type inequalities [PDF]

open access: yes, 2015
Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.
GONSKA, Heiner, ACU, Ana Maria
core   +1 more source

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