Results 11 to 20 of about 36,503 (284)

Some remarks on parameterized inequalities involving conformable fractional operators [PDF]

open access: yes, 2023
In this paper, we prove an identity for differentiable convex functions related to conformable fractional integrals. Moreover, some parameterized inequalities are established by using conformable fractional integrals.
Hezenci, Fatih   +5 more
core   +16 more sources

SEVERAL NEW INTEGRAL INEQUALITIES VIA K-RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS OPERATORS

open access: yesПроблемы анализа, 2021
The main objective of this paper is to establish several new integral inequalities including k-Riemann – Liouville fractional integrals for convex, s-Godunova – Levin convex functions, quasiconvex, η-quasi-convex.
S. I. Butt, B. Bayraktar, M. Umar
doaj   +3 more sources

FORMATION OF VERSIONS OF SOME DYNAMIC INEQUALITIES UNIFIED ON TIME SCALE CALCULUS [PDF]

open access: yesUral Mathematical Journal, 2018
The aim of this paper is to present some comprehensive and extended versions of classical inequalities such as Radon's Inequality, Bergström's Inequality, the weighted power mean inequality, Schlömilch's Inequality and Nesbitt's Inequality on time scale ...
Muhammad Jibril Shahab Sahir
doaj   +2 more sources

A power mean inequality for the Grötzsch ring function [PDF]

open access: yesMathematical Inequalities & Applications, 2011
The Grotzsch ring function has numerous applications in geometric function theory and its properties have been investigated by many authors. Here we extend an earlier functional inequality involving the Grotzsch ring function and the geometric mean, due to Anderson, Vamanamurthy and Vuorinen, to the case of power mean.
Gendi Wang, Xiaohui Zhang, Yuming Chu
openaire   +2 more sources

New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals [PDF]

open access: yesCumhuriyet Science Journal, 2023
In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity.
Ayşe Nur Altunok, Tuba Tunç
doaj   +2 more sources

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities [PDF]

open access: yesJournal of Function Spaces
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri   +3 more
doaj   +2 more sources

Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator

open access: yesHeliyon
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman   +4 more
doaj   +2 more sources

A note on the proofs of generalized Radon inequality [PDF]

open access: yesMathematica Moravica, 2018
In this paper, we introduce and prove several generalizations of the Radon inequality. The proofs in the current paper unify and also are simpler than those in early published work.
Yongtao Li, Xian-Ming Gu, Xiao Jianci
doaj   +1 more source

Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean [PDF]

open access: yesJournal of Inequalities and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia Wei-Feng, Chu Yu-Ming
openaire   +3 more sources

Newton–Simpson-type inequalities via majorization

open access: yesJournal of Inequalities and Applications, 2023
In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt   +3 more
doaj   +1 more source

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