Results 31 to 40 of about 4,698 (283)

Jensen–Mercer inequality for GA-convex functions and some related inequalities

Journal of Inequalities and Applications, 2020
In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj   +1 more source

Some complementary inequalities to Jensen’s operator inequality [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we study some complementary inequalities to Jensen's inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method.
Jadranka Mićić, Hamid Reza Moradi, Shigeru Furuichi   +2 more
openaire   +5 more sources

Jensen inequality for B-convex functions and its applications [PDF]

, 2022
Jensen Eşitsizliği konveks fonksiyonlar için gerek ve yeter koşul veren temel bir eşitsizliktir. Bu önemli eşitsizlik bir fonksiyonun konveksliğini tespit etmek için kullanıldığı gibi, aynı zamanda çok önemli bazı eşitsizliklerin de elde edilmesinde ...
Avcı, Burcu
core  

Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions

Journal of Mathematics, 2021
Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as Jensen-type inequality for harmonic h-convex functions. In this paper, we aim to establish the functional form of
Aqeel Ahmad Mughal, Hassan Almusawa, Absar Ul Haq, Imran Abbas Baloch   +3 more
doaj   +1 more source

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

Integral Inequalities Involving Strongly Convex Functions

Journal of Function Spaces, 2018
We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song, Muhammad Adil Khan, Syed Zaheer Ullah, Yu-Ming Chu   +3 more
doaj   +1 more source

Some Properties and Inequalities for the h,s-Nonconvex Functions

Journal of Mathematics, 2020
The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang, Muhammad Shoaib Saleem, Hamood Ur Rehman, Muhammad Imran   +3 more
doaj   +1 more source

An operator inequality related to Jensen’s inequality [PDF]

Proceedings of the American Mathematical Society, 2001
For bounded non-negative operators A A and
openaire   +2 more sources

Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative

Journal of Inequalities and Applications, 2009
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in fuzzy Banach spaces.
Choonkil Park
doaj   +2 more sources

About the Jensen inequality for numerical n-means [PDF]

, 2022
Starting from an idea of Rao the Jensen inequality for 2-means has been proved by Gibilisco and Hansen.(1) In this note, it is discussed how this result could be generalized for n ...
Gibilisco, P
core   +1 more source