Results 21 to 30 of about 486,597 (163)

Some New Versions of Integral Inequalities for Left and Right Preinvex Functions in the Interval-Valued Settings

Mathematics, 2022
The principles of convexity and symmetry are inextricably linked. Because of the considerable association that has emerged between the two in recent years, we may apply what we learn from one to the other.
Muhammad Bilal Khan, Savin Treanțǎ, Mohamed S. Soliman, Kamsing Nonlaopon, Hatim Ghazi Zaini   +4 more
doaj   +1 more source

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

International Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana, Muhammad Bilal Khan, Muhammad Aslam Noor, Pshtiwan Othman Mohammed, Yu-Ming Chu   +4 more
doaj   +1 more source

New Variant of Hermite–Hadamard, Fejér and Pachpatte-Type Inequality and Its Refinements Pertaining to Fractional Integral Operator

Fractal and Fractional, 2023
In order to show novel generalizations of mathematical inequality, fractional integral operators are frequently used. Fractional operators are used to simulate a broad range of scientific as well as engineering phenomena such as elasticity, viscous fluid,
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities

Mathematics, 2023
We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan, Aleksandr Rakhmangulov, Najla Aloraini, Muhammad Aslam Noor, Mohamed S. Soliman   +4 more
doaj   +1 more source

On Hilbert's Inequality for Double Series and Its Applications

International Journal of Mathematics and Mathematical Sciences, 2008
This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real function u(x) and a parameter λ.
Zhou Yu, Gao Mingzhe
doaj   +1 more source

The Properties of Harmonically cr-h-Convex Function and Its Applications

Mathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu, Fangfang Shi, Guoju Ye, Dafang Zhao   +3 more
doaj   +1 more source

Inequalities of Fejer Type Related to Generalized Convex Functions

International Journal of Analysis and Applications, 2018
This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative
S. Mohammadi Aslani, M. Rostamian Delavar, S. M. Vaezpour   +2 more
doaj   +2 more sources

Detecting Periodicity of a General Stationary Time Series via AR(2)‐Model Fitting

Journal of Time Series Analysis, EarlyView.
ABSTRACT Estimating the periodicity of a stationary time series via fitting a second‐order stationary autoregressive (AR(2)) model has been initiated by the seminal paper of Yule (1927). We investigate properties of this procedure when applied to general stationary processes possessing a spectral density with a dominant peak at some unknown frequency ...
Jens‐Peter Kreiss, Panagiotis Maouris, Efstathios Paparoditis   +2 more
wiley   +1 more source

Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function

Journal of Mathematics, 2020
In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type ...
Zhengbo Li, Kamran, Muhammad Sajid Zahoor, Huma Akhtar   +3 more
doaj   +1 more source

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Boundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja   +3 more
doaj   +1 more source