Results 11 to 20 of about 10,390,924 (281)
Complete Monotonicity of Logarithmic Mean [PDF]
, 2007 In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is ...
Qi, Feng
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This article employs techniques from convex analysis to present characterizations of (maximal) $n-$monotonicity, similar to the well-established characterizations of (maximal) monotonicity found in the existing literature. These characterizations are further illustrated through examples.
Voisei, M. D.
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Monotonicity Results for Arithmetic Means of Concave and Convex Functions [PDF]
, 2006 By majorization approaches, some known results on monotonicity of the arithmetic means of convex and concave functions are proved and generalized once ...
Xu, Tie-Quan, Qi, Feng, Shi, Huan-Nan
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Other Proofs of Monotonicity for Generalized Weighted Mean Values [PDF]
, 1999 In this article, another two simple and short proofs of monotonicity for the generalized weighted mean values with two parameters are ...
Qi, Feng, Mei, Jia-Qiang, Xu, Sen-Lin
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A Generalized Sum-Difference Inequality and Applications to Partial Difference Equations
Advances in Difference Equations, 2008 We establish a general form of sum-difference inequality in two variables, which includes both two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sums.
Wang Wu-Sheng
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Stochastic monotonicity and duality for one-dimensional Markov processes [PDF]
, 2011 The theory of monotonicity and duality is developed for general one-dimensional Feller processes, extending the approach from [11]. Moreover it is shown that local monotonicity conditions (conditions on the Lévy kernel) are sufficient to prove the well-
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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On the study of a class of variational inequalities via Leray-Schauder degree
Fixed Point Theory and Applications, 2004 We present existence results for general variational inequalities without monotonicity or coercivity assumptions. It relies on a Leray-Schauder degree approach and provides additional information about the location of solutions.
V. V. Motreanu +2 more
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Monotones in General Resource Theories
Compositionality, 2023 A central problem in the study of resource theories is to find functions that are nonincreasing under resource conversions — termed monotones — in order to quantify resourcefulness. Various constructions of monotones appear in many different concrete resource theories. How general are these constructions? What are the necessary conditions on a resource
Tomás Gonda, Robert W. Spekkens
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Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
The Scientific World Journal, 2014 We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities.
Haider Abbas Rizvi +2 more
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Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means [PDF]
, 2003 Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and ...
Qi, Feng, Chen, Chao-Ping
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