Results 1 to 10 of about 5,423,601 (236)

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
Saima Rashid, Farhat Safdar, Ahmet Ocak Akdemir, Muhammad Aslam Noor, Khalida Inayat Noor   +4 more
doaj   +1 more source

A Note on Optimality Conditions for DC Programs Involving Composite Functions

Abstract and Applied Analysis, 2014
By using the formula of the ε-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained.
Xiang-Kai Sun, Hong-Yong Fu
doaj   +1 more source

Sequential Mixed Cost-Based Multi-Sensor and Relative Dynamics Robust Fusion for Spacecraft Relative Navigation

Remote Sensing
The non-redescending convex functions degrade the filtering robustness, whereas the redescending non-convex functions improve filtering robustness, but they tend to converge towards local minima.
Shoupeng Li, Weiwei Liu
doaj   +1 more source

Refinements of Hermite-Hadamard inequality for trigonometrically r-convex functions [PDF]

Mathematica Moravica, 2019
In this study, we obtain some refinements of Hermite-Hadamard type inequalities for trigonometrically r-convex mappings.
Budak Hüseyin
doaj  

Log m-Convex Functions

Moroccan Journal of Pure and Applied Analysis, 2019
In this research we lay the concept of log m-convex functions defined on real intervals containing the origin, some algebraic properties are exhibit, in the same token discrete Jensen type inequalities and integral inequalities are set and shown.
Lara Teodoro, Rosales Edgar
doaj   +1 more source

A simple proof of Popoviciu's inequality

Journal of Numerical Analysis and Approximation Theory, 2008
T. Popoviciu [5] has proved in 1965 the following inequality relating the values of a convex function \(f:I\rightarrow\mathbb{R}\) at the weighted arithmetic means of the subfamilies of a given family of points \(x_{1},...,x_{n}\in I\):\begin{align ...
Mihaly Bencze, Florin Popovici
doaj   +2 more sources

n-polynomial exponential type p-convex function with some related inequalities and their applications. [PDF]

Heliyon, 2020
Butt SI, Kashuri A, Tariq M, Nasir J, Aslam A, Gao W.   +5 more
europepmc   +1 more source

Integral Inequalities Involving Strongly Convex Functions

Journal of Function Spaces, 2018
We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song, Muhammad Adil Khan, Syed Zaheer Ullah, Yu-Ming Chu   +3 more
doaj   +1 more source

Inequalities for the classes of analytic functions defined using subordination

Mathematics Open
In this paper, we have defined a new family of analytic functions associated with an exponential function. The analytic characterization of this new class is motivated by a subordination condition that was instrumental in establishing the starlikeness ...
Kadhavoor R. Karthikeyan, Musthafa Ibrahim, Dharmaraj Mohankumar   +2 more
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On extremal elements and the cardinality of the set of continuously differentiable convex extensions of a Boolean function

Моделирование и анализ информационных систем
In this paper we study the existence of the maximal and minimal elements of the set of continuously differentiable convex extensions to $[0,1]^n$ of an arbitrary Boolean function $f_{B}(x_1,x_2,\ldots,x_n)$ and the cardinality of the set of continuously ...
Dostonjon N. Barotov, Ruziboy N. Barotov
doaj   +1 more source