Results 11 to 20 of about 4,194 (193)

Dual Simpson type inequalities for multiplicatively convex functions

open access: yesFilomat, 2023
In this paper we propose a new identity for multiplicative differentiable functions, based on this identity we establish a dual Simpson type inequality for multiplicatively convex functions. Some applications of the obtained results are also given.
Meftah, Badreddine, Lakhdari, Abdelghani
openaire   +4 more sources

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

open access: yesMathematical 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.
openaire   +3 more sources

Multiplicative tempered fractional Newton-type inequalities for twice *differentiable multiplicatively inverse cosine convex functions with applications

open access: yesJournal of Inequalities and Applications
In this paper, an integral identity is developed using the framework of multiplicative tempered Riemann-Liouville fractional integrals. By utilizing the identity several Newton-type inequalities are established for twice *differentiable multiplicatively ...
Muhammad Samraiz   +3 more
doaj   +2 more sources

Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions

open access: yesFilomat, 2023
In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class of functions. We also established new Hermite-Hadamard type inequalities for the product and quotient of exponential type multiplicatively ...
Serap Özcan
openaire   +3 more sources

Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies

open access: yesAnalysis in Theory and Applications, 2023
In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions defined on bodies $B⊂\mathbb{R}^n$ that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.
openaire   +3 more sources

The Arithmetic Site [PDF]

open access: yes, 2014
We show that the non-commutative geometric approach to the Riemann zeta function has an algebraic geometric incarnation: the "Arithmetic Site".
Connes, Alain, Consani, Caterina
core   +3 more sources

Consequences of fluctuating group size for the evolution of cooperation [PDF]

open access: yes, 2010
Studies of cooperation have traditionally focused on discrete games such as the well-known prisoner's dilemma, in which players choose between two pure strategies: cooperation and defection.
Blasius, Bernd   +3 more
core   +2 more sources

Safety of Dynamical Systems With Multiple Non-Convex Unsafe Sets Using Control Barrier Functions [PDF]

open access: yesIEEE 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
openaire   +3 more sources

Multiplicity theorems involving functions with non-convex range

open access: yesStudia 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 ...
openaire   +3 more sources

Midpoint and trapezoid type inequalities for multiplicatively convex functions

open access: yes, 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
openaire   +2 more sources

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