Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results
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
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
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 +2 more
doaj +1 more source
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Chu YM +6 more
europepmc +1 more source
An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
core +1 more source
Some Hardy's inequalities on conformable fractional calculus
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada +5 more
doaj +1 more source
Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
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
Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales
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
Some new Fejér type inequalities for (h, g; α - m)-convex functions
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam +3 more
doaj +1 more source
A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]
Lan K, Webb JRL.
europepmc +1 more source

