Results 41 to 50 of about 8,547,431 (271)

A power mean inequality for the Grötzsch ring function [PDF]

open access: yesMathematical Inequalities & Applications, 2011
The Grotzsch ring function has numerous applications in geometric function theory and its properties have been investigated by many authors. Here we extend an earlier functional inequality involving the Grotzsch ring function and the geometric mean, due to Anderson, Vamanamurthy and Vuorinen, to the case of power mean.
Gendi Wang, Xiaohui Zhang, Yuming Chu
openaire   +1 more source

Generalized Abstracted Mean Values [PDF]

open access: yes, 1998
In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and ...
Qi, Feng
core   +6 more sources

n–polynomial exponential type p–convex function with some related inequalities and their applications

open access: yesHeliyon, 2020
In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions.
Saad Ihsan Butt   +5 more
doaj   +1 more source

Note on Generalization of Power Means and Their Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 1999
New proofs of two results of the reviewer [J. Math. Anal. Appl. 161, No. 2, 395--404 (1991; Zbl 0753.26009)] are given.
openaire   +1 more source

Liquid Crystal Elastomer‐Based Haptic Pixel Arrays at Your Fingertips for Advanced Human–Machine Interfaces

open access: yesAdvanced Materials, EarlyView.
We mechanically program liquid crystal elastomer coatings as a stimuli‐responsive and digitally addressable platform for refreshable tactile displays; we validate the perceptual performance of our dynamic device matches conventional static tactile media.
Tom Bruining   +9 more
wiley   +1 more source

SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS

open access: yesПроблемы анализа, 2020
In this study, we formulate the identity and obtain some generalized inequalities of the Hermite–Hadamard type by using fractional Riemann–Liouville integrals for functions whose absolute values of the second derivatives are convex.
B. Bayraktar
doaj   +1 more source

Multiobjective Codesign Optimization of a Planar Pneumatic Artificial Muscle‐Based Snake‐Like Robot for Enhanced Agility and Energy Efficiency

open access: yesAdvanced Robotics Research, EarlyView.
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley   +1 more source

Inequalities of Hermite–Hadamard type for functions whose derivatives in absolute value are convex with applications

open access: yesArab Journal of Mathematical Sciences, 2015
In this paper some new Hadamard-type inequalities for functions whose derivatives in absolute values are convex are established. Some applications to special means of real numbers are given. Finally, we also give some applications of our obtained results
Muhammad Amer Latif
doaj   +1 more source

On new Simpson’s type ınequalities for trigonometrically convex functions with applications

open access: yesCumhuriyet Science Journal, 2020
The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Mahir Kadakal   +3 more
doaj   +1 more source

On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators

open access: yesAxioms, 2021
Fractional operators are one of the frequently used tools to obtain new generalizations of clasical inequalities in recent years and many new fractional operators are defined in the literature. This development in the field of fractional analysis has led
Erhan Set   +4 more
doaj   +1 more source

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