Results 51 to 60 of about 250 (174)
Extension of Hu Ke's inequality and its applications
Journal of Inequalities and Applications, 2011 In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
doaj
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, new lower and upper bounds for the left and right sides of Hermite–Hadamard inequalities involving multiplicative Riemann–Liouville fractional integrals are established by using functions whose second‐order multiplicative derivatives are bounded.
Hüseyin Budak +3 more
wiley +1 more source
Ostrowski Type Inequalities over Spherical Shells [PDF]
, 2008 2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a ...
Anastassiou, George A.
core
Integral estimates for a class Bn of operators [PDF]
, 2018 Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of operators B that map Pn into itself. In this paper, we establish certain integral estimates concerning B-operator, and thereby obtain generalizations as well as ...
WALI, Shah Lubna, LIMAN, Abdul
core +1 more source
Journal of Inequalities and Applications, 2011 In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming +4 more
doaj
On the Theory of n‐Polynomial ϕ‐Convex Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang +4 more
wiley +1 more source
A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals [PDF]
, 2017 In the present note, firstly we established a generalization of Hermite Hadamard’s inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, we proved new identity involving
SET, Erhan, GÖZPINAR, Abdurrahman
core +1 more source
Open MathematicsIn this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
doaj +1 more source
Analysis of Cauchy problem with fractal-fractional differential operators
Demonstratio Mathematica, 2023 Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain +2 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Motivated by the recent work of Samraiz, Ashraf and Naheed [J. Inequal. Appl. (2026)], which established Newton‐type inequalities for differentiable p‐convex functions via (k, s)‐Riemann–Liouville fractional integrals, the present paper develops a parameterized framework for related Newton‐type estimates. Two ingredients are considered. First, a kernel
Liqiang Chen +2 more
wiley +1 more source