Generalized \((h,r)\)-harmonic convex functions and inequalities
Summary: The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function \(h\), which is called generalized \((h,r)\)-harmonic convex functions. We derive some new Fejer-Hermite-Hadamard type inequalities for generalized harmonic convex functions. Some special cases are also discussed. The ideas
Muhammad Aslam Noor +3 more
openaire +3 more sources
The Effect of Transformations on the Approximation of Univariate (Convex) Functions with Applications to Pareto Curves [PDF]
In the literature, methods for the construction of piecewise linear upper and lower bounds for the approximation of univariate convex functions have been proposed.We study the effect of the use of increasing convex or increasing concave transformations ...
Siem, A.Y.D. +2 more
core
A Sequential Quadratic Numerical Optimization Technique to Compute Critical Flutter Speeds
ABSTRACT A stable sequential quadratic numerical optimization technique is proposed to compute critical flutter speeds without resorting to complex algebra. The solution of the traditional eigenproblem stated in the frequency domain, and whose complex conjugate eigenvalues provide insights on the stability of the dynamic aeroelastic response, is ...
Alfredo R. de Faria
wiley +1 more source
Programmable Elastic Wave Control Via Mechanical‐Acoustic Interaction in Bistable Metamaterials
A mechanically programmable metamaterial based on mechanical‐acoustic interaction enables reconfigurable elastic wave control through bistable state switching. Spatial encoding of peak and valley states tunes band structures and transmission, achieving low‐frequency vibration suppression, waveguiding, and energy localization.
Yuanyuan Li +7 more
wiley +1 more source
Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function. [PDF]
Shi HN, Zhang J, Ma QH.
europepmc +1 more source
Some properties of generalized strongly harmonic convex functions
Summary: In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction \(F(\cdot,\cdot,\cdot): K\times K\times[0,1]\to\mathbb{R}\), which is called generalized strongly harmonic convex functions. We study some basic properties of strongly harmonic convex functions.
Muhammad Aslam Noor +3 more
openaire +3 more sources
Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
wiley +1 more source
The oxygen reduction reaction (ORR) at the proton exchange membrane fuel cells (PEMFC) cathode suffers from sluggish kinetics, high platinum loading requirements, and progressive catalyst degradation. This review examines how artificial intelligence (AI) and machine learning (ML) are reshaping the discovery and durability assessment of ORR ...
Aaditya Sharma +4 more
wiley +1 more source
Novel extensions of k-harmonically convex functions and their applications in information science. [PDF]
Fahad A, Furuichi S, Ali Z, Wang Y.
europepmc +1 more source
ABSTRACT Viscous dampers (VDs) are widely used to mitigate the excessive responses of long‐span bridges. However, VDs face some intricate challenges in engineering practices, including high damping coefficient requirement, potential base shear amplification and tremendous damping force under high velocity. To address these issues, this study develops a
Ruisheng Ma +5 more
wiley +1 more source

