Results 51 to 60 of about 643,292 (329)

Length problems for Bazilevič functions

Demonstratio Mathematica, 2019
Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru, Sokół Janusz, Tang Huo   +2 more
doaj   +1 more source

Experimental Evaluation of 100Cr6 Steel Microindented Surfaces Under Lubricated Nonconformal Point Contacts

Advanced Engineering Materials, EarlyView.
The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi, Pasquale Guglielmi, Gianfranco Palumbo, Giuseppe Carbone   +3 more
wiley   +1 more source

Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities

Applied Mathematics in Science and Engineering
In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes.
Yonghong Liu, Ghulam Farid, Josip Pečarić, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek   +5 more
doaj   +1 more source

Some majorization integral inequalities for functions defined on rectangles

Journal of Inequalities and Applications, 2018
In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles.
Shanhe Wu, Muhammad Adil Khan, Abdul Basir, Reza Saadati   +3 more
doaj   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

Axioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Successive Convex Approximation Algorithms for Sparse Signal Estimation with Nonconvex Regularizations

, 2018
In this paper, we propose a successive convex approximation framework for sparse optimization where the nonsmooth regularization function in the objective function is nonconvex and it can be written as the difference of two convex functions. The proposed
Chatzinotas, Symeon, Ottersten, Björn, Pesavento, Marius, Yang, Yang   +3 more
core   +1 more source

EBSD Study of Creep‐Induced Lattice Misorientation in MgO‐Particle‐Reinforced Austenitic Steel Composites

Advanced Engineering Materials, EarlyView.
Creep experiments at 900°C on coarse‐grained steel‐ceramic composites containing recycled magnesia reveal that higher ceramic volume fractions significantly enhance the creep resistance. Detailed EBSD investigations identify subgrain formation in the steel matrix as the dominant deformation mechanism.
Moritz Müller, Amaya Compart, Mahnaz Mehdizadehlima, Serhii Yaroshevskyi, Christos G. Aneziris, Horst Biermann, Anja Weidner   +6 more
wiley   +1 more source

Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus

Journal of Function Spaces, 2021
In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions.
Chahn Yong Jung, Ghulam Farid, Kahkashan Mahreen, Soo Hak Shim   +3 more
doaj   +1 more source

Optimality certificates for convex minimization and Helly numbers

, 2016
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, Conforti, Michele, Cornuéjols, Gérard, Weismantel, Robert, Weltge, Stefan   +4 more
core   +1 more source

Investigation of Oxygen‐Free Wetting Behavior of Aluminum on Copper via Molecular Dynamics Simulations and Experiments

Advanced Engineering Materials, EarlyView.
The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu, Timon Steinhoff, Finn‐Lennard Janthur, Sarah Seffer, Jörg Hermsdorf, Christian Klose, Ludger Overmeyer, Hans‐Jürgen Maier, Nina Merkert   +8 more
wiley   +1 more source