Results 71 to 80 of about 51,346 (174)

Some new extensions for fractional integral operator having exponential in the kernel and their applications in physical systems

Open Physics, 2020
The key purpose of this study is to suggest a new fractional extension of Hermite–Hadamard, Hermite–Hadamard–Fejér and Pachpatte-type inequalities for harmonically convex functions with exponential in the kernel.
Rashid Saima, Baleanu Dumitru, Chu Yu-Ming   +2 more
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Exponential convex functions with respect to \(s\)

Sahand Communications in Mathematical Analysis
Summary: In this paper, we study the concept of exponential convex functions with respect to \(s\) and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative in absolute value, raised to a certain power ...
openaire   +3 more sources

On the refinements of the Jensen-Steffensen inequality

Journal of Inequalities and Applications, 2011
In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these inequalities and prove monotonicity property of ...
Khalid Sadia, Pečarić Josip, Franjić Iva   +2 more
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Comparison Between Bayesian and Frequentist Tail Probability Estimates

, 2019
In this paper, we investigate the reasons that the Bayesian estimator of the tail probability is always higher than the frequentist estimator. Sufficient conditions for this phenomenon are established both by using Jensen's Inequality and by looking at ...
González, Bárbara, Pericchi, Luis Raúl, Shen, Nan   +2 more
core  

Generalization of an Inequality for Integral Transforms with Kernel and Related Results

Journal of Inequalities and Applications, 2010
We establish a generalization of the inequality introduced by Mitrinović and Pečarić in 1988. We prove mean value theorems of Cauchy type for that new inequality by taking its difference.
Zhou Yong, Iqbal Sajid, Pečarić J   +2 more
doaj  

Locally convex approach spaces

Applied General Topology, 2003
We continue the investigation of suitable structures for quantified functional analysis, by looking at the notion of local convexity in the setting of approach vector spaces as introduced in [6].
M. Sioen, S. Verwulgen
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Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity

Journal of Inequalities and Applications, 2018
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Nasir Mehmood, Saad Ihsan Butt, László Horváth, Josip Pečarić   +3 more
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Stationary covariances associated with exponentially convex functions

Bernoulli, 2003
The authors establish a bijective mapping between exponentially convex functions and positively definite functions, and extend Loève's construction of stochastic processes associated with them. As an application, they derive parametric covariance model for locally stationary random fields.
Ehm, Werner, Genton, Marc G., Gneiting, Tilmann   +2 more
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EXPONENTIAL CONVEXITY OF THE FAVARD'S INEQUALITY AND RELATED RESULTS

Contributions, Section of Natural, Mathematical and Biotechnical Sciences, 2017
A b s t r a c t: In this paper we prove positive semi-definiteness of matrices generated by differences deduced from unweighted and weighted Favard's inequality. This implies a surprising property of exponential convexity of this differences which allows us to deduce Gram's, Lyapunov's and Dresher's types of inequalities for this differences.
Latif, Naveed, Pečarić, Josip, Perić, Ivan   +2 more
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Differences of Weighted Mixed Symmetric Means and Related Results

Journal of Inequalities and Applications, 2010
Some improvements of classical Jensen's inequality are used to define the weighted mixed symmetric means. Exponential convexity and mean value theorems are proved for the differences of these improved inequalities. Related Cauchy means are also defined,
Perić I, Khan KhuramAli, Pečarić J   +2 more
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