Results 41 to 50 of about 383,096 (303)

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

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

Clinical Validation of Plasma p‐217tau in Neurological Diseases

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi, Takumi Nakamura, Ryoma Takahashi, Tetsuya Ueda, Seiji Kinoshita, Chikage Uchida, Takashi Sugawara, Kentaro Hashimoto, Kunihiko Ishizawa, Masakuni Amari, Hiroo Kasahara, Yoshio Ikeda, Masamitsu Takatama, Mikio Shoji   +13 more
wiley   +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

Experimental Evaluation of 100Cr6 Steel Microindented Surfaces Under Lubricated Nonconformal Point Contacts

Advanced Engineering Materials, EarlyView.
The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi, Pasquale Guglielmi, Gianfranco Palumbo, Giuseppe Carbone   +3 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

New Generalized Riemann–Liouville Fractional Integral Versions of Hadamard and Fejér–Hadamard Inequalities

Journal of Mathematics, 2022
In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon, Ghulam Farid, Ammara Nosheen, Muhammad Yussouf, Ebenezer Bonyah   +4 more
doaj   +1 more source

Continued fractions built from convex sets and convex functions [PDF]

, 2015
In a partially ordered semigroup with the duality (or polarity) transform, it is pos- sible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions are provided. Two particular applications
Molchanov, Ilya
core   +1 more source

New integral inequalities involving beta function via $P$-convexity [PDF]

Miskolc Mathematical Notes, 2014
Summary: In this note we establish some estimates, involving the Euler-beta function, of the integral \(\int^b_a (x-a)^p(b-x)^qf(x)dx\) for functions when a power of the absolute value is \(P\)-convex. An extension to functions of several variables is also obtained.
openaire   +3 more sources