Results 11 to 20 of about 373 (214)
Injectiveness and Discontinuity of Multiplicative Convex Functions [PDF]
Mathematics, 2021 In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points.
Pablo Jiménez-Rodríguez +3 more
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Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions
Journal of Inequalities and Applications, 2023 AbstractIn this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established. Many inequalities of Hermite–Hadamard type are also taken into account for the product and quotient of multiplicative harmonic convex functions.
Serap Özcan, Saad Ihsan Butt
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Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies
Analysis 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.
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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 +3 more
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Schur
Abstract and Applied Analysis, 2014 We investigate the conditions under which the symmetric functionsFn,k(x,r)=∏1≤i1<i2<⋯<ik≤n f(∑j=1kxijr)1/r, k=1,2,…,n,are Schurm-power convex forx∈R++nandr>0. As a consequence, we prove that these functions are Schur geometrically convex and Schur harmonically convex, which generalizes some known results.
Wang, Wen, Yang, Shiguo
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Companion of Ostrowski inequality for multiplicatively convex functions
Sahand Communications in Mathematical AnalysisSummary: 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.
Lakhdari, Abdelghani +3 more
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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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Advanced Robotics Research, EarlyView.Robots can learn manipulation tasks from human demonstrations. This work proposes a versatile method to identify the physical interactions that occur in a demonstration, such as sequences of different contacts and interactions with mechanical constraints.
Alex Harm Gert‐Jan Overbeek +3 more
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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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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