Results 41 to 50 of about 36,503 (284)

Power Mean Inequalities and Sums of Squares

Discrete & Computational Geometry
For fixed degree and increasing number of variables the dimension of the vector space of $n$-variate real symmetric homogeneous polynomials (forms) of degree $d$ stabilizes. We study the limits of the cones of symmetric nonnegative polynomials and symmetric sums of squares, when expressed in power-mean or monomial-mean basis. These limits correspond to
Jose Acevedo, Grigoriy Blekherman
openaire   +3 more sources

Conceptualising quality early childhood education: Learning from young children in Brazil and South Africa through creative and play‐based methods

British Educational Research Journal, EarlyView., 2023
Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright, Irene Rizzini, Malibongwe Gwele, Lynn McNair, Cristina Laclette Porto, Marsha Orgill, E. Kay M. Tisdall, Malcolm Bush, Linda Biersteker   +8 more
wiley   +1 more source

Analogy of Classical and Dynamic Inequalities Merging on Time Scales

, 2020
In this paper, we present analogues of Radon’s inequality and Nesbitt’s inequality on time scales. Furthermore, we find refinements of some classical inequalities such as Bergström’s inequality, the weighted power mean inequality, Cauchy–Schwarz’s ...
Sahir, Muhammad Jibril Shahab
core   +1 more source

Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type [PDF]

Sahand Communications in Mathematical Analysis
New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and
Juan Napoles Valdes, Bahtiyar Bayraktar
doaj   +1 more source

A width-diameter inequality for convex bodies

, 1983
A special case of the Blaschke-Santaló inequality regarding the product of the volumes of polar reciprocal convex bodies is shown to be equivalent to a power-mean inequality involving the diameters and widths of a convex body.
Lutwak, Erwin
core   +1 more source

n–polynomial exponential type p–convex function with some related inequalities and their applications

Heliyon, 2020
In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions.
Saad Ihsan Butt, Artion Kashuri, Muhammad Tariq, Jamshed Nasir, Adnan Aslam, Wei Gao   +5 more
doaj   +1 more source

Note on Generalization of Power Means and Their Inequalities

Journal of Mathematical Analysis and Applications, 1999
New proofs of two results of the reviewer [J. Math. Anal. Appl. 161, No. 2, 395--404 (1991; Zbl 0753.26009)] are given.
openaire   +1 more source

Multiobjective Codesign Optimization of a Planar Pneumatic Artificial Muscle‐Based Snake‐Like Robot for Enhanced Agility and Energy Efficiency

Advanced Robotics Research, EarlyView.
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley   +1 more source

SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS

Проблемы анализа, 2020
In this study, we formulate the identity and obtain some generalized inequalities of the Hermite–Hadamard type by using fractional Riemann–Liouville integrals for functions whose absolute values of the second derivatives are convex.
B. Bayraktar
doaj   +1 more source

Revisiting Target‐Aware de novo Molecular Generation with TarPass: Between Rational Design and Texas Sharpshooter

Advanced Science, EarlyView.
TarPass provides a rigorous benchmark for target‐aware de novo molecular generation by jointly evaluating protein‐ligand interactions, molecular plausibility, and drug‐likeness on 18 well‐studied targets. Results show that current models often fail to consistently surpass random baseline in target‐specific enrichment, while post hoc multi‐tier virtual ...
Rui Qin, Zijie Chen, Yurong Li, Meijing Fang, Longji Shen, Yilong Su, Odin Zhang, Qinghan Wang, Qun Su, Jike Wang, Tingjun Hou, Yu Kang   +11 more
wiley   +1 more source