Results 81 to 90 of about 11,287,559 (375)

Dynamical significance of generalized fractional integral inequalities via convexity

AIMS Mathematics, 2021
The main goal of this paper is to develop the significance of generalized fractional integral inequalities via convex functions. We obtain the new version of fractional integral inequalities with the extended Wright generalized Bessel function acting as ...
Sabila Ali, Shahid Mubeen, Rana Safdar Ali, Gauhar Rahman, Ahmed Morsy, Kottakkaran Sooppy Nisar , Sunil Dutt Purohit, M. Zakarya   +7 more
doaj   +1 more source

Convex Matrix Functions [PDF]

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.
openaire   +2 more sources

Subordination by convex functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
For a fixed analytic function defined on the open unit disk and γ < 1, let Tg(γ) denote the class of all analytic functions satisfying . For functions in Tg(γ), a subordination result is derived involving the convolution with a normalized convex function. Our result includes as special cases several earlier works.
Rosihan M. Ali, V. Ravichandran, N. Seenivasagan   +2 more
openaire   +3 more sources

Numerical Model and Experimental Validation of Composite Metal Foam in Protecting Carbon Steel Against Puncture

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
wiley   +1 more source

Differential Stability of Convex Discrete Optimal Control Problems

, 2017
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
core   +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

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 ...
openaire   +1 more source

Soft and Stiff 3D Microstructures by Step‐Growth Photopolymerization Using a Single Photoresin and Multi‐Photon Laser Printing

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, Jiajie Liang, Jonathan Ludwig Günter Schneider, Martin Wegener, Jens Bauer, Katharina Ehrmann, Florian Feist, Christopher Barner‐Kowollik   +7 more
wiley   +1 more source

Mirror Descent and Convex Optimization Problems With Non-Smooth Inequality Constraints

, 2018
We consider the problem of minimization of a convex function on a simple set with convex non-smooth inequality constraint and describe first-order methods to solve such problems in different situations: smooth or non-smooth objective function; convex or ...
A Beck, A Beck, A Ben-Tal, A Juditsky, A Juditsky, A Nedic, A Nemirovski, A Nemirovskii, A Nemirovsky, B Polyak, B Polyak, L Xiao, NZ Shor, S Boucheron, Y Nesterov, Y Nesterov, Yurii Nesterov   +16 more
core   +1 more source

Integral inequalities of Hermite-Hadamard type for GA-F-convex functions

AIMS Mathematics, 2021
In the paper, the authors define a notion of geometric-arithmetic-F-convex functions and, via an integral identity and other analytic techniques, establish several integral inequalities of the Hermite-Hadamard type for geometric-arithmetic-F-convex ...
Ye Shuang, Feng Qi
doaj   +1 more source