Results 81 to 90 of about 340 (177)

Sharp Sobolev Inequalities via Projection Averages. [PDF]

J Geom Anal, 2021
Kniefacz P, Schuster FE.
europepmc   +1 more source

Inequalities for the area balance of absolutely continuous functions [PDF]

, 2018
We introduce the area balance function associated to a Lebesgue integrable function f : [a, b] → C by ABf (a, b, ·) : [a, b] → C, ABf (a, b, x) := x f (t) dt − x l (t) dt .
Dragomir, Silvestru, Sever S. Dragomir, Dragomir, Sever S, DRAGOMIR, Sever S.   +3 more
core   +1 more source

Jensen Type Inequality for L-Gap Convex Functions

Annales Mathematicae Silesianae
The concept of l-gap convex functions is defined, which is more general than convex functions and allows some non-convex parts of the function. A Jensen type inequality is established and some examples are discussed. As an application and generalization,
Miao JinYan
doaj   +1 more source

Refined Young Inequality and Its Application to Divergences. [PDF]

Entropy (Basel), 2021
Furuichi S, Minculete N.
europepmc   +1 more source

Extensions of two referenced forms of the Hilbert integral inequality

Annals of the West University of Timisoara: Mathematics and Computer Science
This article demonstrates the broader flexibility of the techniques developed in previous studies, showing that they can be adapted to cover a wider range of Hilbert-type integral inequalities.
Chesneau Christophe
doaj   +1 more source

Inequalities for Jensen-Sharma-Mittal and Jeffreys-Sharma-Mittal Type f-Divergences. [PDF]

Entropy (Basel), 2021
Kluza PA.
europepmc   +1 more source

Global smoothness preservation and simultaneous approximation by multivariate discrete operators: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

, 2016
In this article we study the multivariate generalized discrete singular operators defined on R N , N ≥ 1, regarding their simultaneus global smoothness preservation property with respect to Lp norm for 1 ≤ p ≤ ∞, by using higher order moduli of ...
KESTER, Merve, ANASTASSIOU, George A.
core  

Generalizations of a weighted trapezoidal inequality for monotonic functions and applications

, 2020
In this paper we establish some generalizations of a weighted trapezoidal inequality for monotonic functions and give several applications for the r -moments, the expectation of a continuous random variable and the Beta and Gamma functions.
Kuei-Lin Tseng, Sever S Dragomir, Gou-Sheng Yang   +2 more
core  

Ostrowski type fractional integral operators for generalized (r; g, s, m, ϕ)-preinvex functions [PDF]

, 2018
In the present paper, the notion of generalized (r; g, s, m, ϕ)-preinvex function is applied for establish some new generalizations of Ostrowski type in- equalities via fractional integral operators.
LIKO, Rozana, KASHURI, Artion
core   +1 more source

Advancements in conticrete Hermite–Hadamard–Mercer type fractional inequalities via separable sequences

Demonstratio Mathematica
The Hermite–Hadamard inequality remains a central focus in mathematical research, with its profound significance continually motivating mathematicians to explore new areas for its enhancement and generalizations.
Muhammad Tahir, Adil Khan Muhammad, Faisal Shah, Wang Xinglong, Sharaf Mohamed   +4 more
doaj   +1 more source