Results 61 to 70 of about 40,195 (268)
A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
doaj +1 more source
Optimal learning with $Q$-aggregation
, 2014 We consider a general supervised learning problem with strongly convex and Lipschitz loss and study the problem of model selection aggregation. In particular, given a finite dictionary functions (learners) together with the prior, we generalize the ...
Lecué, Guillaume, Rigollet, Philippe
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$k$-fractional integral inequalities of Hadamard type for exponentially $(s, m)$-convex functions
AIMS Mathematics, 2021 The aim of this article is to present fractional versions of the Hadamard type inequalities for exponentially $(s, m)$-convex functions via $k$-analogue of Riemann-Liouville fractional integrals. The results provide generalizations of various known fractional integral inequalities. Some special cases are analyzed in the form of corollaries and remarks.
Atiq Ur Rehman +4 more
openaire +2 more sources
Advanced Science, EarlyView.This study uncovers a new allosteric site in the Josephin domain of ataxin‐3 targeted by the molecular tweezer CLR01, which modulates protein aggregation, improves synaptic function in neuronal cells, and delays motor dysfunction in animal models.
Alexandra Silva +28 more
wiley +1 more source
Further geometric properties of the Mittag-Leffler-Prabhakar functions of Le Roy type
Journal of Inequalities and ApplicationsThis study aims to determine several geometric features of the normalized Mittag-Leffler-Prabhakar function of Le Roy type. These geometric properties include starlikeness and convexity of order-ζ, ξ-starlikeness and ξ-uniform convexity, lemniscate ...
İbrahim Aktaş, Merve Görgülü
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Approximations and inequalities for the exponential beta function
Journal of Inequalities and Applications, 2019 In this paper, motivated by interest in simulating the expenditure patterns of construction projects, we introduce the mathematical concept of Exponential-Beta function by F(α,β):=∫01exp[xα(1−x)β]dx, $$ F ( \alpha ,\beta ) := \int _{0}^{1}\exp \bigl[ x^{\
Silvestru Sever Dragomir +1 more
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Comparison of semimartingales and L\'{e}vy processes
, 2007 In this paper, we derive comparison results for terminal values of $d$-dimensional special semimartingales and also for finite-dimensional distributions of multivariate L\'{e}vy processes.
Bergenthum, Jan, Rüschendorf, Ludger
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Advanced Science, EarlyView.A programmable passive digital shutter based on multiphase liquid–liquid interface dynamics is introduced for precise fabrication of hydrogel microfibers. By modulating the shutter operation, microfibers with tunable geometry—including linear, helical, tadpole‐like, and spherical forms—are produced.
Dongrui Zhang +14 more
wiley +1 more source
Super‐Robust Telecommunications Enabled by Topological Half‐Supermodes
Advanced Science, EarlyView.Through topological half‐supermode engineering, we realize a valley‐ridge gap waveguide that is directly compatible with conventional waveguides and features topological protection. This design halves the lateral size via a PEC boundary, enabling direct TE₁₀‐mode matching and robust bend‐immune transmission.
Rui Zhou +8 more
wiley +1 more source
Mathematics, 2023 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 Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq +2 more
doaj +1 more source