Results 51 to 60 of about 148 (111)

Trudinger–Moser type inequalities with logarithmic weights in fractional dimensions

Advanced Nonlinear Studies
The purpose of this paper is two-fold. First, we derive sharp Trudinger–Moser inequalities with logarithmic weights in fractional dimensions:  sup∫01w(r)u′(r)β+2dλα1/(β+2)≤1∫01eμα,θ,γuβ+2β+11−γdλθ 1 and γ = 1 are also be considered in this part to ...
Xue Jianwei, Zhang Caifeng, Zhu Maochun
doaj   +1 more source

Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

Annales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

Hardy inequalities with Bessel pair for Dunkl operator

Advanced Nonlinear Studies
Using the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan, Nguyen Phong Van, Pham Hien Thi Thu   +2 more
doaj   +1 more source

Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales

Demonstratio Mathematica
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
doaj   +1 more source

Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

Topological Algebra and its Applications, 2016
In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first ...
Set Erhan, Gözpinar Abdurrahman
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Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]

Results Phys, 2023
Chu YM, Rashid S, Akdemir AO, Khalid A, Baleanu D, Al-Sinan BR, Elzibar OAI.   +6 more
europepmc   +1 more source

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +1 more source

Some new quantum derivatives and integrals with their applications in integral error bounds

Demonstratio Mathematica
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong, Ali Muhammad Aamir, Murtaza Ghulam, Budak Hüseyin, Zhao Dafang   +4 more
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

Special Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj   +1 more source