Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions [PDF]
Mathematical Inequalities & Applications, 2021 Summary: We establish some Hermite-Hadamard type inequalities for strongly \(h\)-convex function on balls and ellipsoids, which extend some known results. Some mappings connected with these inequalities and related applications are also obtained.
Feng, Mengjie +2 more
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Nonlinear Maximal Monotone Extensions of Symmetric Operators [PDF]
, 2015 Given a linear semi-bounded symmetric operator $S\ge -\omega$, we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators $A_\Theta$ of type $\lambda>\omega$ (i.e.
Posilicano, Andrea
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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
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Some trace functional inequalities for operator (p, h)-convex functions
, 2023 Abstract In this paper, we present a theorem pertinent to singular value inequalities for positive and compact operators on a Hilbert space. Moreover, we obtain several trace inequalities for operator (p,h)-convex functions.
Pourbahri Rahpeyma, Omid +2 more
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Scalable sparse covariance estimation via self-concordance [PDF]
, 2014 We consider the class of convex minimization problems, composed of a self-concordant function, such as the $\log\det$ metric, a convex data fidelity term $h(\cdot)$ and, a regularizing -- possibly non-smooth -- function $g(\cdot)$.
Cevher, Volkan +3 more
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On some integral inequalities for $(h,m)$-convex functions in a generalized framework
Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, we present some new integral inequalities of Hermite-Hadamard type. To obtain these results, general convex functions of various type are considered such as $(h,m)$-convex functions.
P. Kórus, J.E. Nápoles Valdés
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On the ( p , h ) -convex function and some integral inequalities [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Zhong, Shi, Renjie
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Operators in Rigged Hilbert spaces: some spectral properties [PDF]
, 2013 A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces.
Bellomonte, G. +2 more
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Open Physics, 2021 In the present study, two new classes of convex functions are established with the aid of Raina’s function, which is known as the ψ-s-convex and ψ-quasi-convex functions. As a result, some refinements of the Hermite–Hadamard (ℋℋ{\mathcal{ {\mathcal H} {\
Rashid Saima +3 more
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Integral means of holomorphic functions as generic log-convex weights [PDF]
, 2017 Let $\mathcal{H}ol(B_d)$ denote the space of holomorphic functions on the unit ball $B_d$ of $\mathbb{C}^d$, $d\ge 1$. Given a log-convex strictly positive weight $w(r)$ on $[0,1)$, we construct a function $f\in\mathcal{H}ol(B_d)$ such that the standard ...
Doubtsov, Evgueni
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