Results 11 to 20 of about 4,194 (193)
Dual Simpson type inequalities for multiplicatively convex functions
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
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A class of symmetric functions for multiplicatively convex function [PDF]
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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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
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Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions
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
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Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies
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.
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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
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Consequences of fluctuating group size for the evolution of cooperation [PDF]
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
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Safety of Dynamical Systems With Multiple Non-Convex Unsafe Sets Using Control Barrier Functions [PDF]
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
"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
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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