Results 21 to 30 of about 5,359,615 (162)
Operator (p, η)-Convexity and Some Classical Inequalities
In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity ...
Chuanjun Zhang +4 more
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Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan +2 more
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A Note on Schur-Convex Functions
In this note it is proved that integral rithmetic mean of convex function is Schur-convex function. Applications to Schur-convexity of logarithmic mean and gamma functions are given.
Elezović, N., Pečarić, J.
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Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers [PDF]
This is the first of three papers that develop structures which are counted by a "parabolic" generalization of Catalan numbers. Fix a subset R of {1,..,n-1}. Consider the ordered partitions of {1,..,n} whose block sizes are determined by R. These are the
Robert A. Proctor, Matthew J. Willis
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Nonlinear Sherman-type inequalities
An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality. Sherman’s inequality is a natural generalization of the HLPK inequality.
Niezgoda Marek
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Generalizations of Several Inequalities Related to Multivariate Geometric Means
In the paper, by some methods in the theory of majorization, the authors generalize several inequalities related to multivariate geometric means.
Bo-Yan Xi +3 more
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A Robust Guiding Torque Control Method for Automatic Steering Using LMI Algorithm
The existing path tracking methods usually neglect the effect of the drivers on the steering control. This paper proposes a robust steering control method of human-machine steering torque superposition based on linear matrix inequality (LMI) algorithm ...
Guangtong Bai +5 more
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On generalized strongly modified h-convex functions
We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class.
Taiyin Zhao +4 more
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Optimization of Schur-convex functions [PDF]
The author shows that Schur-convex functions share some important properties with convex functions: in particular, basic properties of convex functions about extreme values that have been used widely in theoretical and applied mathematics. Examples of Schur-convex functions are constructed and some inequalities for them are established, including as ...
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Positivity properties for q-Schur algebras. [PDF]
We prove Du's positivity conjecture for the canonical basis of the q-Schur algebra, using elementary arguments and the positivity result for Lusztig's canonical basis for U+q(sln).
Green, R. M.
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