Results 31 to 40 of about 48,198 (262)

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

Modified class of hyperbolic p-convex function with application to integral inequalities

Ain Shams Engineering Journal
In this paper, the new class of modified hyperbolic p-convex functions is introduced and some of their basic algebraic properties are presented. The motivation behind for introducing this new class is that it can solve more complicated problems, such as ...
Xiaoming Wang, Khuram Ali Khan, Saima Riaz, Ammara Nosheen, Y.S. Hamed   +4 more
doaj   +1 more source

On new Simpson’s type ınequalities for trigonometrically convex functions with applications

Cumhuriyet Science Journal, 2020
The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Mahir Kadakal, Selahattin Maden, Şenol Demir, İmdat İşcan   +3 more
doaj   +1 more source

Some integral inequalities for approximately h-convex functions and their applications

Proyecciones (Antofagasta), 2021
In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder—Íşcan integral inequality three inequalities of Hermite—Hadamard and Hadamard integral type for (h, d)—convex functions have been established. Various special cases including classes for instance, h—convex, s—convex function of Breckner and Godunova—Levin—
Artion Kashuri, Muhammad Raees, Matloob Anwar   +2 more
openaire   +2 more sources

Hermite-Hadamard and Schur-Type Inequalities for Strongly h-Convex Fuzzy Interval Valued Functions

Journal of Function Spaces, 2022
The concept of fuzzy theory was developed in 1965 and becomes an acknowledged research subject in both pure and applied mathematics and statistics, showing how this theory is highly applicable and productive in many applications. In the present study, we
Putian Yang, Shiqing Zhang
doaj   +1 more source

Some inequalities for strongly $(p,h)$-harmonic convex functions

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
doaj   +1 more source

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

Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions [PDF]

Journal of Mahani Mathematical Research
In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function.
Kemi Apanpa, Adesanmi Mogbademu, Johnson Olalerun   +2 more
doaj   +1 more source

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus

Foundations, 2023
A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions,
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

On new general integral inequalities for h-convex functions

New Trends in Mathematical Science, 2016
In this paper, we derive new estimates for the remainder termof the midpoint, trapezoid, and Simpson formulae for functions whosederivatives in absolute value at certain power are -convex and -concave by using power meaninequality, Hölder inequality and some other integral inequalities. Someapplications to special means of real numbers are also given.
ISCAN, İmdat, AYDİN, Mustafa
openaire   +2 more sources