Results 61 to 70 of about 706,288 (287)
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman +4 more
doaj +1 more source
We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
doaj +1 more source
On Divergence-Power Inequalities
Expressions for (EPI Shannon type) Divergence-Power Inequalities (DPI) in two cases (time-discrete and band-limited time-continuous) of stationary random processes are given.
Binia, Jacob
core +1 more source
Power mean inequality of generalized trigonometric functions
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Bhayo, Barkat Ali, Vuorinen, Matti
openaire +2 more sources
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 +11 more
wiley +1 more source
Advancements in Convex Analysis Through Inverse Cosine Function with Applications [PDF]
In this article, we introduce a new class of convex functions called $\alpha$-inverse cosine convex functions ($\alpha$-ICCF), which extends the traditional classes.
Atika Imran +2 more
doaj +1 more source
Information Theoretic Proofs of Entropy Power Inequalities
While most useful information theoretic inequalities can be deduced from the basic properties of entropy or mutual information, up to now Shannon's entropy power inequality (EPI) is an exception: Existing information theoretic proofs of the EPI hinge on ...
Rioul, Olivier
core +2 more sources
Matrix power means and Pólya-Szegő type inequalities
Summary: It is shown that, if \(\mu\) is a compactly supported probability measure on \(\mathbb{M}^+_n\), then, for every unit vector \(\eta\in\mathbb{C}^n\), there exists at compactly supported probability measure (denoted by \(\langle\mu\eta,\eta\rangle)\) on \(\mathbb{R}^+\) so that the inequality \[\langle P_t(\mu)\eta,\eta\rangle\le P_t(\langle\mu
Mohsen Kian, Fatemeh Rashid
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Optimal inequalities between Seiffert's mean and power means [PDF]
For the Seiffert mean \(P(x,y):=(x-y)/[4\arctan (\sqrt{x/y})-\pi ]\), the author proves that the evaluation \(A_{p}\leq P\leq A_{q}\) holds if and only if ...
openaire +2 more sources
ABSTRACT We link American Community Survey and SNAP records for 185,000 units with ground‐sourced social food infrastructure data from FindFoodIL (Illinois Extension SNAP‐Ed) to examine SNAP participation determinants among eligible units. Bivariate probit models reveal, beyond SNAP offices, quantity of social infrastructure is associated with ...
Michael Lotspeich‐Yadao +3 more
wiley +1 more source

