Results 41 to 50 of about 3,710 (260)
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
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The Hölder inequality for KMS states
We prove a Hölder inequality for KMS States, which generalise a well-known trace-inequality.
Robl, Florian, Jakel, Christian Dieter
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New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals
In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity.
Ayşe Nur Altunok, Tuba Tunç
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Generalized matrix version of reverse Hölder inequality
A generalized matrix version of reverse Cauchy–Schwarz/Hölder inequality is proved.
Mandeep Singh +5 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
New refinement of the Jensen inequality associated to certain functions with applications
This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan +2 more
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Schematic illustration of a sustainable nanofabrication process: chitosan derived from natural sources is used as a biodegradable thin film resist, patterned via Constant Pulse‐Assisted Force Lithography (CP‐AFL) to create tunable nanogrooves. These grooves template gold nanowire formation, enabling high‐resolution nanopatterning under ambient ...
Paolo Pellegrino +7 more
wiley +1 more source
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
Integral inequalities via fractional quantum calculus
In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad +2 more
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On inverses of the Hölder inequality
Let (X, Σ, μ) be a finite measure space, Lp = Lp(X, Σ, μ) be the space of all pth power positive integrable functions over (X, Σ, μ), p > 1, 1p + 1q = 1, then for f, g ϵ Lp the Hölder inequality ∥ fg ∥1 ⩽ ∥ f ∥p ∥ g ∥q holds, where ∥ f ∥p = (∝Xfp dμ)1p ...
Zhuang, Ya-Dong
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