Results 31 to 40 of about 51,346 (174)
Fractional exponentially \(m\)-convex functions and inequalities
International Journal of Analysis and Applications, 2019 Summary: In this article, we introduce a new class of convex functions involving \(m \in [0, 1]\), which is called exponentially \(m\)-convex function. Some new Hermite-Hadamard inequalities for exponentially \(m\)-convex functions via Reimann-Liouville fractional integral are deduced. Several special cases are discussed.
Saima Rashid +2 more
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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Axioms, 2022 Fractional calculus manages the investigation of supposed fractional derivatives and integrations over complex areas and their applications. Fractional calculus is the purported assignment of differentiations and integrations of arbitrary non-integer ...
Bibhakar Kodamasingh +5 more
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Exponential convexity of Petrović and related functional [PDF]
Journal of Inequalities and Applications, 2011 We consider functionals due to the difference in Petrović and related inequalities and prove the log-convexity and exponential convexity of these functionals by using different families of functions. We construct positive semi-definite matrices generated by these functionals and give some related results. At the end, we give some examples.
Saad Ihsan Butt +2 more
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Journal of Numerical Analysis and Approximation Theory, 2017 In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case.
Gorana Aras-Gazic +2 more
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A convexity property of expectations under exponential weights [PDF]
, 2007 Take a random variable X with some finite exponential moments. Define an exponentially weighted expectation by E^t(f) = E(e^{tX}f)/E(e^{tX}) for admissible values of the parameter t.
Balazs, Marton, Seppalainen, Timo
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Functional inequalities for the Bickley function [PDF]
, 2013 In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
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Carleman estimates and absence of embedded eigenvalues
, 2005 Let L be a Schroedinger operator with potential W in L^{(n+1)/2}. We prove that there is no embedded eigenvalue. The main tool is an Lp Carleman type estimate, which builds on delicate dispersive estimates established in a previous paper.
A. Soffer +12 more
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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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Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals
Abstract and Applied Analysis, 2012 We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples.
Saad Ihsan Butt +2 more
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