Results 41 to 50 of about 259,132 (235)

Markov and Bernstein type inequalities for polynomials

Journal of Inequalities and Applications, 1999
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynomial of degree , then The above inequality which is known as Markov's Inequality is best possible and becomes equality for the Chebyshev polynomial .
Mohapatra RN, Govil NK
doaj  

Novel results of Milne-type inequalities involving tempered fractional integrals

Boundary Value Problems
In this current research, we focus on the domain of tempered fractional integrals, establishing a novel identity that serves as the cornerstone of our study.
Fatih Hezenci, Hüseyin Budak, Hasan Kara, Umut Baş   +3 more
doaj   +1 more source

Novel Fractional Boole’s-Type Integral Inequalities via Caputo Fractional Operator and Their Implications in Numerical Analysis

Mathematics
The advancement of fractional calculus, particularly through the Caputo fractional derivative, has enabled more accurate modeling of processes with memory and hereditary effects, driving significant interest in this field.
Wali Haider, Abdul Mateen, Hüseyin Budak, Asia Shehzadi, Loredana Ciurdariu   +4 more
doaj   +1 more source

Stable Diffusion Models Reveal a Persisting Human–AI Gap in Visual Creativity

Advanced Science, EarlyView.
This study examines visual creativity in humans and generative AI using the TCIA framework. Human artists outperform AI overall, yet structured human guidance substantially improves AI outputs and evaluations. Findings reveal that alignment with human creativity depends critically on contextual framing, highlighting both the promise and current ...
Silvia Rondini, Claudia Alvarez‐Martin, Paula Angermair‐Barkai, Olivier Penacchio, Marc Paz, Matthew Pelowski, Dan Dediu, Antoni Rodriguez‐Fornells, Xim Cerda‐Company   +8 more
wiley   +1 more source

Universal inequalities for the eigenvalues of Schrodinger operators on submanifolds [PDF]

, 2009
We establish inequalities for the eigenvalues of Schr\"odinger operators on compact submanifolds (possibly with nonempty boundary) of Euclidean spaces, of spheres, and of real, complex and quaternionic projective spaces, which are related to inequalities
Harrell, Evans, Ilias, Said, Soufi, Ahmad El   +2 more
core   +2 more sources

Revisiting Target‐Aware de novo Molecular Generation with TarPass: Between Rational Design and Texas Sharpshooter

Advanced Science, EarlyView.
TarPass provides a rigorous benchmark for target‐aware de novo molecular generation by jointly evaluating protein‐ligand interactions, molecular plausibility, and drug‐likeness on 18 well‐studied targets. Results show that current models often fail to consistently surpass random baseline in target‐specific enrichment, while post hoc multi‐tier virtual ...
Rui Qin, Zijie Chen, Yurong Li, Meijing Fang, Longji Shen, Yilong Su, Odin Zhang, Qinghan Wang, Qun Su, Jike Wang, Tingjun Hou, Yu Kang   +11 more
wiley   +1 more source

Sums of magnetic eigenvalues are maximal on rotationally symmetric domains

, 2011
The sum of the first n energy levels of the planar Laplacian with constant magnetic field of given total flux is shown to be maximal among triangles for the equilateral triangle, under normalization of the ratio (moment of inertia)/(area)^3 on the domain.
A. Laptev, Arindam Roy, B. Siudeja, C. Bandle, E.M. Harrell, G. Pólya, G. Pólya, J. Dolbeault, Jian Liang, L. Erdös, L. Erdös, L. Geisinger, O. Christensen, P. Antunes, P. Freitas, P. Kröger, P. Li, R.E. Showalter, R.L. Frank, R.S. Laugesen, R.S. Laugesen, R.S. Laugesen, Richard S. Laugesen, S. Fournais   +23 more
core   +2 more sources

Low‐Power Control Of Resistance Switching Transitions in First‐Order Memristors

Advanced Electronic Materials, EarlyView.
Joule losses are a serious concern in modern integrated circuit design. In this regard, minimizing the energy necessary for programming memristors should be handled with care. This manuscript presents an optimal control framework, allowing to derive energy‐efficient programming voltage protocols for resistance switching devices. Following this approach,
Valeriy A. Slipko, Alon Ascoli, Fernando Corinto, Yuriy V. Pershin   +3 more
wiley   +1 more source

"Universal" inequalities for the eigenvalues of the biharmonic operator [PDF]

, 2009
In this paper, we establish universal inequalities for eigenvalues of the clamped plate problem on compact submanifolds of Euclidean spaces, of spheres and of real, complex and quaternionic projective spaces.
Ilias, Said, Makhoul, Ola
core   +3 more sources

Phase Analysis of MIMO LTI Systems

, 2019
In this paper, we introduce a definition of phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems, the frequency responses of which are cramped at all frequencies.
Chen, Wei, Khong, Sei Zhen, Qiu, Li, Wang, Dan   +3 more
core   +1 more source