Results 71 to 80 of about 46,401 (165)

On some new inequalities of Hadamard type for h-convex functions

AIP Conference Proceedings, 2012
In this paper we proved some new Hadamard-type inequalities for h-convex functions.
AKDEMİR, AHMET OCAK, SET, ERHAN, ÖZDEMİR, MUHAMET EMİN, YILDIZ, ÇETİN   +3 more
openaire   +5 more sources

Euler's Beta function diagonalized and a related functional equation [PDF]

Opuscula Mathematica, 2004
Euler's Gamma function is the unique logarithmically convex solution of the functional equation \[\varphi(x+1)=x\varphi(x),\quad x\in\mathbb{R}_{+};\quad \varphi(1)=1,\] cf. the Proposition. In this paper we deal with the function \(\beta :\mathbb{R}_{+}\
Bodgan Choczewski, Anna Wach-Michalik
doaj  

On an implicit convexity concept and some integral inequalities

Journal of Inequalities and Applications, 2016
We introduce a new concept of convexity that depends on a function F : R × R × R × ( 0 , 1 ) → R $F:\mathbb{R}\times\mathbb{R}\times\mathbb {R}\times (0,1)\to\mathbb{R}$ satisfying certain axioms. The presented concept generalizes many kinds of convexity
Bessem Samet
doaj   +1 more source

On the ${\mathbb H}$-cone-functions for H-convex sets

, 2018
Given a compact and H-convex subset $K$ of the Heisenberg group ${\mathbb H}$, with the origin $e$ in its interior, we are interested in finding a homogeneous H-convex function $f$ such that $f(e)=0$ and $f\bigl|_{\partial K}=1$; we will call this function $f$ the ${\mathbb H}$-cone-function of vertex $e$ and base $\partial K$.
Calogero, Andrea, Pini, Rita
openaire   +3 more sources

Investigations into Hermite-Hadamard-Fejér Inequalities within the Realm of Trigonometric Convexity

Communications in Advanced Mathematical Sciences
This study is predicated on the exploration of lemmas pertaining to the Hermite-Hadamard-Fejér type integral inequality, focusing on both trapezoidal and midpoint inequalities.
Ercihan Güngör, Sercan Turhan, İmdat İşcan   +2 more
doaj   +1 more source

Some new Fejér type inequalities for (h, g; α - m)-convex functions

Open Mathematics
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam, Kovač Sanja, Pečarić Josip, Penava Mihaela Ribičić   +3 more
doaj   +1 more source

Generalized Legendre Transforms Have Roots in Information Geometry. [PDF]

Entropy (Basel)
Nielsen F.
europepmc   +1 more source

Energy-Efficient 3D Trajectory Optimization and Resource Allocation for UAV-Enabled ISAC Systems. [PDF]

Entropy (Basel)
Jing L, Wang H, Qin Z, Zhao Y, Zhu Y, Zhao W.   +5 more
europepmc   +1 more source

Microlocal analysis of non-linear operators arising in Compton CT. [PDF]

Inverse Probl
Webber JW, Holman S.
europepmc   +1 more source

Tighter privacy auditing of differentially private stochastic gradient descent in the hidden state threat model. [PDF]

Sci Rep
Bhuekar A.
europepmc   +1 more source