Results 21 to 30 of about 9,539 (252)

Some concepts of generalized convex functions (I)

Journal of Numerical Analysis and Approximation Theory, 2002
An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
Liana Lupşa, Gabriela Cristescu
doaj   +2 more sources

On new generalized unified bounds via generalized exponentially harmonically s-convex functions on fractal sets

Advances in Difference Equations, 2021
The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu, Saima Rashid, Thabet Abdeljawad, Aasma Khalid, Humaira Kalsoom   +4 more
doaj   +1 more source

The Lupus Damage Index Revision Program: Results From the Item Generation and Reduction Phases

Arthritis Care &Research, EarlyView.
Objective A data‐driven and expert/patient consensus‐based project to develop a revised Systemic Lupus International Collaborating Clinics (SLICC)/American College of Rheumatology (ACR) Damage Index (SDI) is under way supported by SLICC, ACR, and the Lupus Foundation of America. Our objective is to report the item generation and reduction phase results
Burak Kundakci, Megan R. W. Barber, Ann E. Clarke, Sindhu R. Johnson, Anselm Mak, Hermine I. Brunner, Murat Inanc, Rosalind Ramsey‐Goldman, Guillermo Ruiz‐Irastorza, Ellen M. Ginzler, John G. Hanly, Alexandra Legge, Cynthia Aranow, Laurent Arnaud, Nathalie Costedoat‐Chalumeau, Dafna D. Gladman, Søren Jacobsen, Michelle Petri, Clovis A. Silva, Évelyne Vinet, Alexandre E. Voskuyl, SDI Revision Literature Review Groups, SDI Revision Delphi Panel, SDI Revision Item Reduction Committee, SDI Revision Clinical Domain Groups, Ian N. Bruce   +25 more
wiley   +1 more source

Integral Inequalities via Generalized Geometrically r-Convex Functions

International Journal of Analysis and Applications, 2018
In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been ...
Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar   +2 more
doaj   +2 more sources

A note on generalized convex functions

Journal of Inequalities and Applications, 2019
In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah, Muhammad Adil Khan, Yu-Ming Chu   +2 more
doaj   +1 more source

Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators

Journal of Mathematics, 2021
Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions.
Changyue Chen, Muhammad Shoaib Sallem, Muhammad Sajid Zahoor   +2 more
doaj   +1 more source

Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane, Salama Makni, Mourad Kchaou, Ahmed El Hajjaji   +3 more
wiley   +1 more source

Some new local fractional inequalities associated with generalized ( s , m ) $(s,m)$ -convex functions and applications

Advances in Difference Equations, 2020
Fractal analysis is one of interesting research areas of computer science and engineering, which depicts a precise description of phenomena in modeling. Visual beauty and self-similarity has made it an attractive field of research.
Thabet Abdeljawad, Saima Rashid, Zakia Hammouch, Yu-Ming Chu   +3 more
doaj   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

A New Advanced Class of Convex Functions with Related Results

Axioms, 2023
It is the purpose of this paper to propose a novel class of convex functions associated with strong η-convexity. A relationship between the newly defined function and an earlier generalized class of convex functions is hereby established.
Muhammad Adil Khan, Adnan, Tareq Saeed, Eze R. Nwaeze   +3 more
doaj   +1 more source