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The subject of convex analysis and integral inequalities represents a comprehensive and absorbing field of research within the field of mathematical interpretation.
Muhammad Tariq+5 more
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Inequalities for convex and non-convex functions [PDF]
The paper discusses functions that are similar to convex functions, which may be convex but not necessarily. We consider the application of such functions to convex combinations with the common center, and sets with the common barycenter. The same functions are used in studying the integral quasi-arithmetic means.
openaire +2 more sources
Subordination by convex functions [PDF]
The following theorem is proven: Let F ( z ) F(z) be convex and univalent in Δ = { z : | z | > 1 } , F ( 0 ) = 1 \Delta = \{ z:|z| > 1\} ,F(0)
Stephan Ruscheweyh, D. J. Hallenbeck
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Convex Functions and Spacetime Geometry
Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime $(M,g_{\mu \nu})$ or an initial data set $(\Sigma,
+12 more
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A coordination polymer [Pb(tadt)]n prepared by a microwave‐assisted solvothermal method selectively reduces CO2 into formate under visible light with a high apparent quantum yield of ≈25% at 400 nm. It can function as a pre‐catalyst, along with conductive Ketjen Black, to form an active PbCO3/Pb3(CO3)2(OH)2 mixture that exhibits a high Faradaic ...
Chomponoot Suppaso+8 more
wiley +1 more source
M-Convex Function on Generalized Polymatroid
The concept of M-convex function, introduced by Murota 1996, is a quantitative generalization of the set of integral points in an integral base polyhedron as well as an extension of valuated matroid of Dress and Wenzel 1990. In this paper, we extend this
K. Murota, A. Shioura
semanticscholar +1 more source
Differential Stability of Convex Discrete Optimal Control Problems
Differential stability of convex discrete optimal control problems in Banach spaces is studied in this paper. By using some recent results of An and Yen [Appl. Anal.
An, Duong Thi Viet, Toan, Nguyen Thi
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The Emerging 4D Printing of Shape‐Memory Thermomorphs for Self‐Adaptative Biomedical Implants
4D printing enables the creation of smart implants that adapt to changing conditions in the human body over time. At the core of this technology are shape‐memory thermomorphs (SMTMs). This review offers an in‐depth analysis of 4D printing with SMTMs, emphasizing the latest advancements in smart materials, stimuli, programming principles, and their ...
Aixiang Ding, Fang Tang, Eben Alsberg
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New ways for comparing and bounding strongly ( s , m ) $(s,m)$ -convex functions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored.
Jie Li+4 more
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Optimality certificates for convex minimization and Helly numbers
We consider the problem of minimizing a convex function over a subset of R^n that is not necessarily convex (minimization of a convex function over the integer points in a polytope is a special case). We define a family of duals for this problem and show
Basu, Amitabh+4 more
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