Results 11 to 20 of about 251 (126)

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
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A class of symmetric functions for multiplicatively convex function [PDF]

Mathematical Inequalities & Applications, 2007
A new symmetric function, which generalizes Hamy symmetric function, is defined. Its properties, including Schur-geometric convexity, are investigated. Some analytic inequalities are also established. Mathematics subject classification (2000): 26A51, 26D15, 0E05.
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Safety of Dynamical Systems With Multiple Non-Convex Unsafe Sets Using Control Barrier Functions [PDF]

IEEE Control Systems Letters, 2022
This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high computational complexity in case of general nonlinear systems. Leveraging control barrier functions, on the other
Gennaro Notomista, Matteo Saveriano
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Multiplicity theorems involving functions with non-convex range

Studia Universitatis Babes-Bolyai Matematica, 2023
"Here is a sample of the results proved in this paper: Let $f:{\bf R}\to {\bf R}$ be a continuous function, let $\rho>0$ and let $\omega:[0,\rho[\to [0,+\infty[$ be a continuous increasing function such that $$\lim\limits_{\xi\to \rho^-}\ds\int_0^{\xi}\omega(x)dx=+\infty.$$ Consider $C^0([0,1])\times C^0([0,1])$ endowed with the norm $$\|(\alpha ...
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Midpoint and trapezoid type inequalities for multiplicatively convex functions

, 2022
In this paper, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special means are also given.
Amel, Berhail, Badreddine, Meftah
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Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis

Mathematics
Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan, Abdul Mateen, Muhammad Toseef, Muhammad Aamir Ali   +3 more
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Companion of Ostrowski inequality for multiplicatively convex functions

Sahand Communications in Mathematical Analysis
Summary: The objective of this paper is to examine integral inequalities related to multiplicatively differentiable functions. Initially, we establish a novel identity using the two-point Newton-Cotes formula for multiplicatively differentiable functions.
Meftah, Badreddine, Benchettah, Djaber Chemseddine, Saleh, Wedad, Lakhdari, Abdelghani   +3 more
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The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions [PDF]

Journal of Function Spaces, 2018
We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric ...
Ming-bao Sun, Xin-ping Li, Ying-hui Zhang, Zai-yuan Zhang   +3 more
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Calculus of convex polyhedra and polyhedral convex functions by utilizing a multiple objective linear programming solver [PDF]

Optimization, 2018
The article deals with operations defined on convex polyhedra or polyhedral convex functions. Given two convex polyhedra, operations like Minkowski sum, intersection and closed convex hull of the union are considered. Basic operations for one convex polyhedron are, for example, the polar, the conical hull and the image under affine transformation.
Ciripoi, Daniel, Löhne, Andreas, Weißing, Benjamin   +2 more
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An investigation into multiplicative fractional Weddle’s inequalities

Boundary Value Problems
This article presents a new way to think about multiplicative Weddle inequalities, which is based on multiplicative Riemann-Liouville fractional integrals.
Bouharket Benaissa, Noureddine Azzouz, Hüseyin Budak   +2 more
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