Results 81 to 90 of about 2,343 (229)

Time-Optimal Adiabatic-Like Expansion of Bose-Einstein Condensates

, 2012
In this paper we study the fast adiabatic-like expansion of a one-dimensional Bose-Einstein condensate (BEC) confined in a harmonic potential, using the theory of time-optimal control.
A. del Campo, A. P. Prudnikov, B. F. Schutz, Dionisis Stefanatos, H. Schaettler, Jr-Shin Li, L. S. Pontryagin, U. Boscain   +7 more
core   +1 more source

Harmonically M-convex Set-valued Function

Abstract This research aimed to introduce the concept of harmonically m-convex set-valued functions, which is obtained from the combination of two definitions: harmonically m-convex functions and setvalued functions. In this work some properties and characteristics are developed, as well as a inequality of the Hermite-Hadamard type for such ...
Santana, Gabriel, Valera-López, Maira
openaire   +2 more sources

ON A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS

Journal of the Korean Mathematical Society, 2006
We deflne and investigate a subclass of complex val- ued harmonic convex functions that are univalent and sense pre- serving in the open unit disk. We obtain coe-cient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Yalcin, Sibel, Ozturk, Metin
openaire   +3 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

A Generalized Fejér–Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results

Mathematics, 2018
In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator.
Shin Min Kang, Ghulam Abbas, Ghulam Farid, Waqas Nazeer   +3 more
doaj   +1 more source

Clinically Informed Intelligent Classification of Ovarian Cancer Cells by Label‐Free Holographic Imaging Flow Cytometry

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Quantitative phase maps of single cells recorded in flow cytometry modality feed a hierarchical architecture of machine learning models for the label‐free identification of subtypes of ovarian cancer. The employment of a priori clinical information improves the classification performance, thus emulating the clinical application of liquid biopsy during ...
Daniele Pirone, Beatrice Cavina, Daniele Gaetano Sirico, Martina Mugnano, Vittorio Bianco, Lisa Miccio, Anna Myriam Perrone, Anna Maria Porcelli, Giuseppe Gasparre, Ivana Kurelac, Pasquale Memmolo, Pietro Ferraro   +11 more
wiley   +1 more source

Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications

Fractal and Fractional
In this paper, we aim to establish new inequalities of Hermite–Hadamard (H.H) type for harmonically convex functions using proportional Caputo-Hybrid (P.C.H) fractional operators.
Saad Ihsan Butt, Muhammad Umar, Dawood Khan, Youngsoo Seol, Sanja Tipurić-Spužević   +4 more
doaj   +1 more source

Advances in Triboelectric Nanogenerators With Rotating Structure

Carbon Energy, EarlyView.
The rotating TENG has been widely studied for its superiorities of simple structure, high efficiency, and stable output. This review introduced the four different principles of rotating TENG and offered a thorough summary for performance and application research through three‐level classification. Importantly, the current existing problems, challenges,
Chuguo Zhang, Chunxu Xue, Yutong Chen, Yujie Qiang, Seeram Ramakrishna   +4 more
wiley   +1 more source

HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS

Hacettepe Journal of Mathematics and Statistics, 2014
The author introduces the concept of harmonically ( ,m)-convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions.
openaire   +6 more sources

Integral inequalities for differentiable p-harmonic convex functions

Filomat, 2017
In this paper, we consider a new class of harmonic convex functions, which is called p-harmonic convex function. Several new Hermite-Hadamard, midpoint, Trapezoidal and Simpson type inequalities for functions whose derivatives in absolute value are p-harmonic convex are obtained. Some special cases are discussed. The ideas and techniques of
Noor, Muhammad Aslam, Noor, Khalida Inayat, Iftikhar, Sabah   +2 more
openaire   +2 more sources