Results 51 to 60 of about 497,650 (327)
Continuous essential selections and integral functionals
, 2013 Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections.
Perkkiö, Ari-Pekka
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An Inequality for Convex Functions
Journal of Mathematical Analysis and Applications, 1994 The authors prove the following interesting inequality for convex functions: Suppose that positive numbers \(s_{i,j}\) \((i= 0,1,2; j= 1,\dots,n)\) satisfy \(s_{1,j}\leq s_{0,j}\leq s_{2,j}\) \((j= 1,\dots,n)\) and \(a_ j s^{-1}_{i,1}+ b_ j s^{-1}_{i,j}= 1\) \((i= 0,1,2; j= 2,\dots,n)\) for positive constants \(a_ j\), \(b_ j\) \((j= 2,\dots,n)\). If \(
Pearce, C.E.M., Pecaric, J.E.
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Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
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Conditionally approximately convex functions
Demonstratio Mathematica, 2016 Let X be a real normed space, V be a subset of X and α: [0, ∞) → [0, ∞] be a nondecreasing function. We say that a function f : V → [−∞, ∞] is conditionally α-convex if for each convex combination ∑i=0ntivi$\sum\nolimits_{i = 0}^n {t_i v_i }$ of ...
Najdecki Adam, Tabor Józef
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Proceedings of the American Mathematical Society, 1974 The purpose of this paper is to prove convexity properties for the tensor product, determinant, and permanent of hermitian matrices.
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Advanced Engineering Materials, EarlyView.The puncture prevention and energy absorption performance of composite metal foam (CMF) are studied experimentally and numerically for hazardous materials transportation protection. The numerical model implementing air within the CMF (nonhomogeneous model using fluid cavity technique) predicts puncture more accurately compared to the homogeneous CMF ...
Aman Kaushik, Afsaneh Rabiei
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On the definition of a close-to-convex function
International Journal of Mathematics and Mathematical Sciences, 1978 The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
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Infima of convex functions [PDF]
Transactions of the American Mathematical Society, 1989 Let Γ ( X ) \Gamma (X) be the lower semicontinuous, proper, convex functions on a real normed linear space X X . We produce a simple description of what is, essentially, the weakest topology on Γ ( X ) \Gamma (X) such that the value ...
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Advanced Functional Materials, EarlyView.An additive and initiator‐free photoresin based on a prepolymer decorated with photoreactive step‐growth units as crosslinkers allows for the fabrication of 3D microstructures with strongly disparate mechanical properties ranging from stiff to soft. Abstract Manufacturing three‐dimensional (3D) microstructures with multi‐material properties via two ...
Tugce Nur Eren +7 more
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SOME INEQUALITIES OF THE HERMITE HADAMARD TYPE FOR PRODUCT OF TWO FUNCTIONS
Journal of New Theory, 2016 Abstaract−In this paper, we shall establish some new inequalities of the Hermite Hadamard type for product of two functions to belong to the class of s-convex functions and the class of h-convex functions.
Nguyen Ngoc Hue, Duong Quoc Huy
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