Results 41 to 50 of about 26,410,219 (262)

Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions

Publications de l'Institut Mathematique, 2016
We derive some new integral identities for differentiable functions. Then using these auxiliary results, we obtain new Hermite-Hadamard type inequalities for differentiable p-convex functions. Some special cases are also discussed.
Noor, Muhammad Aslam, Awan, Muhammad Uzair, Mihai, Marcela V., Noor, Khalida Inayat   +3 more
openaire   +2 more sources

Ostrowski type inequalities for $p$-convex functions

New Trends in Mathematical Science, 2016
In this paper, we give a different version of theconcept of -convex functions and obtain some new properties of -convex functions. Moreover we establish some Ostrowski type inequalitiesfor the class of functions whose derivatives in absolute values at certainpowers are -convex.
openaire   +2 more sources

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

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. We also obtain some refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power are n ...
Saad Ihsan Butt, Artion Kashuri, Muhammad Tariq, Jamshed Nasir, Adnan Aslam, Wei Gao   +5 more
openaire   +3 more sources

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

Cauchy type means for some generalized convex functions

Journal of Inequalities and Applications, 2021
In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense.
Naila Mehreen, Matloob Anwar
doaj   +1 more source

New integral inequalities involving p-convex and s-p-convex functions

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
In this study, new lemmas on $p-$convex and $s-p-$convex functions were derived utilizing the integral $\int_{j}^{k} \frac{\left(x^p - j^p\right)^f \left(k^p - x^p\right)^g m(x)}{x^{(f+g)p}} \,dx$. Through this equality, new integral inequalities were established, and novel upper bounds were obtained with the aid of Euler's beta and hypergeometric ...
Sercan Turhan, Aykut Kılıç, İmdat İşcan   +2 more
openaire   +2 more sources

HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.
Toplu, Tekin, Set, Erhan, Iscan, Imdat, Maden, Selahattin   +3 more
openaire   +2 more sources

Some New Inequalities for p‐Convex Functions via a K‐Fractional Conformable Integral

Journal of Mathematics, 2022
The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. Several existing results are also discussed which can be deduced from our results.
Yan Dou, Muhammad Shoaib Saleem, Nimra Anwar, Haiping Gao   +3 more
openaire   +2 more sources

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Generalizations of p-valent functions via the hadamard product

International Journal of Mathematics and Mathematical Sciences, 1982
The classes of univalent prestarlike functions Rα, α≥−1, of Ruscheweyh [1] and a certain generalization of Rα were studied recently by Al-Amiri [2]. The author studies, among other things, the classes of p-valent functions R(α+p−1) where p is a positive ...
Anil K. Soni
doaj   +1 more source