Results 141 to 150 of about 383,096 (303)

THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR p-CONVEX FUNCTIONS IN HILBERT SPACE

Journal of New Theory, 2015
− In this paper, we introduce operator p-convex functions and establish some HermiteHadamard type inequalities in which some operator p-convex functions of positive operators in Hilbertspaces are ...
Seren Salaş, Erdal Unluyol, Yeter Erdaş   +2 more
doaj  

A new refinement of the Hermite-Hadamard type inequalities for operator ( p − q ) $(p-q) $ -convex functions

Journal of Inequalities and Applications
In this paper, we establish a new refinement of Hermite-Hadamard-type inequalities for ( p − q ) $(p-q) $ -convex functions. By the definition of suitable functions, we extend this refinement to operator ( p − q ) $(p-q) $ -convex functions associated ...
Gholamreza Zabandan, Farideh Tahmasbnia
doaj   +1 more source

A Method For Approximating Univariate Convex Functions Using Only Function Value Evaluations

In this paper, piecewise linear upper and lower bounds for univariate convex functions are derived that are only based on function value information. These upper and lower bounds can be used to approximate univariate convex functions.
Siem, A.Y.D., Hertog, D. den, Hoffmann, A.L.   +2 more
core  

Convex functions on Carnot groups

, 2007
We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of
Manfredi, Juan, Juutinen, Petri, Stroffolini, Bianca, Lu, Guozhen   +3 more
core  

3D Large‐Scale Subwavelength‐Resolution Sound Sheet Tomography Based on an Active and Programmable Circular Meta‐Array

Advanced Science, EarlyView.
A programmable 2048‐element circular ultrasound array combined with a compact acoustic lens produces a thin “sound sheet” over a large field of view, and records echoes with wide angular diversity across the ring aperture. Coherence‐enhanced beamforming converts full‐matrix data into high‐contrast tomographic slices, delivering near‐diffraction‐limited
Qiu‐De Zhang, Zi‐Bin Lin, Zhuo Chen, Zhao‐Hui Liu, Jin‐Lian He, Jun‐Jie Song, Long‐Sheng Zeng, Liang Zhou, Ming‐Yue Ding, Yu‐Gui Peng, Ming Yuchi, Xue‐Feng Zhu   +11 more
wiley   +1 more source

A comprehensive review of the Pachpatte-type inequality pertaining to fractional integral operators [PDF]

Surveys in Mathematics and its Applications
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Pachpatte-type inequalities involving a variety
Muhammad Tariq, Asif Ali Shaikh, Sotiris K. Ntouyas   +2 more
doaj  

Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys

Advanced Science, EarlyView.
This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin, Cheng‐Wei Lee, Nate S.P. Bernstein, Thi Nguyen, Ande Bryan, Eli Cooper, John S. Mangum, Sage R. Bauers, Andriy Zakutayev, Keisuke Yazawa, Prashun Gorai, Rebecca W. Smaha   +11 more
wiley   +1 more source

Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions

Communications in Advanced Mathematical Sciences
In this paper, a new class of convex functions, referred to as $\left(m,p\right) -$earthquake convex functions, is introduced. For this class, several Hermite-Hadamard type inequalities are established, yielding explicit two-sided bounds in terms of ...
Sümeyye Ermeydan Çiriş, Hüseyin Yıldırım   +1 more
doaj   +1 more source

SOME HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY (p, (s, m))-CONVEX FUNCTIONS

, 2017
iscan, imdat/0000-0001-6749-0591WOS: 000416773700007In this article, we introduce the class of harmonically p-convex functions which is generalization of convex and harmonically convex functions.
Iscan, Imdat, Baloch, Imran Abbas
core  

NUDT21 Drives T‐Cell Acute Lymphoblastic Leukemia Through Dual Regulation of Alternative Polyadenylation and Transcriptional Activation

Advanced Science, EarlyView.
In summary, our study defines a coordinated oncogenic model in which NUDT21 integrates alternative polyadenylation–dependent UBE2D3 stabilization and transcriptional activation to sustain MYC‐driven T‐ALL cell survival, thereby establishing NUDT21 as a central regulatory node and a promising therapeutic target.
Conglian Qiu, Jianwei Wang, Zhiheng Li, Qi Ji, Hui Zhang, Qinyi Zhang, Senlin Zhang, Juanjuan Yu, Yanfang Tao, Yijun Wu, Chunxia Shi, Zong Zai, Zimu Zhang, Yizhen Li, Zhenjiang Bai, Shaoyan Hu, Jian Pan, Yang Yang, Shuiyan Wu   +18 more
wiley   +1 more source