Results 81 to 90 of about 51,346 (174)

On completeness of exponential systems in convex domain

Ufimskii Matematicheskii Zhurnal, 2018
Summary: The work is devoted to studying the completeness of the systems of exponentials in the space of functions analytic in a convex domain. The problem on the completeness of the systems of the exponentials in various functional spaces is classical and was studied by many mathematicians, for instance, by B. Ya. Levin, A. F. Leontiev, A.
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Exponential Convexity Induced by Steffensen’s Inequality and Positive Measures

Results in Mathematics, 2018
Using measure theoretic generalization of Steffensen’s inequality we produce linear functionals and then, through their action on families of already known exponentially convex functions, we construct new examples of exponential convexity.
Julije Jakšetić, Josip Pečarić, Ksenija Smoljak Kalamir   +2 more
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n-exponential convexity of some dynamic Hardy-type functionals

Journal of Mathematical Inequalities, 2014
Recently, some dynamic Hardy-type inequalities with certain kernels are studied with the help of arbitrary time scales. We use the positive linear functionals obtained from some older results to give non trivial examples of n-exponentially convex functions.
Khan, Khuram Ali, Nosheen, Ammara, Pečarić, Josip   +2 more
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Global Strong Solution With BV Derivatives to Singular Solid-on-Solid model With Exponential Nonlinearity

, 2019
In this work, we consider the one dimensional very singular fourth-order equation for solid-on-solid model in attachment-detachment-limit regime with exponential nonlinearity $$h_t = \nabla \cdot (\frac{1}{|\nabla h|} \nabla e^{\frac{\delta E}{\delta h}})
Gao, Yuan
core  

$T$-convex valued fields with tempered exponentiation

, 2020
We continue the effort of grokking the structure of power-bounded $T$-convex valued fields, whose theory is in general referred to as TCVF. In the present paper our focus is on certain expansion of it that is equipped with a tempered exponential function beyond the valuation ring.
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Reverses of the Jensen-Type Inequalities for Signed Measures

Abstract and Applied Analysis, 2014
In this paper we derive refinements of the Jensen type inequalities in the case of real Stieltjes measure dλ, not necessarily positive, which are generalizations of Jensen's inequality and its reverses for positive measures.
Rozarija Jakšić, Josip Pečarić, Mirna Rodić Lipanović   +2 more
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Strongly F-Convex Functions with Structural Characterizations and Applications in Entropies

Axioms
Strongly convex functions form a central subclass of convex functions and have gained considerable attention due to their structural advantages and broad applicability, particularly in optimization and information theory.
Hasan Barsam, Slavica Ivelić Bradanović, Matea Jelić, Yamin Sayyari   +3 more
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Refinements of Results about Weighted Mixed Symmetric Means and Related Cauchy Means

Journal of Inequalities and Applications, 2011
A recent refinement of the classical discrete Jensen inequality is given by Horváth and Pečarić. In this paper, the corresponding weighted mixed symmetric means and Cauchy-type means are defined.
Khan KhuramAli, Pečarić J, Horváth László   +2 more
doaj  

Majorization Inequalities via Peano's Representation of Hermite's Polynomial

International Journal of Analysis and Applications, 2018
The Peano's representation of Hermite polynomial and new Green functions are used to construct the identities related to the generalization of majorization type inequalities in discrete as well as continuous case.
N. Latif, N. Siddique, J. Pecaric
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Convex Bodies of Constant Width with Exponential Illumination Number

Discrete & Computational Geometry
minor ...
Andrii Arman, Andrii Bondarenko, Andriy Prymak   +2 more
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