Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]
Mahmood A+6 more
europepmc +1 more source
Some New Inequalities for (h-s)_{1,2}-convex Functions via Further Properties [PDF]
In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h-s)_{1,2}-convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.
arxiv
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
Ostrowski type inequalities for functions whose derivatives are preinvex [PDF]
In this paper, we established new inequalities of Ostrowski's type for the class of preinvex functions are introduced.
arxiv
Logical Entropy of Information Sources. [PDF]
Xu P, Sayyari Y, Butt SI.
europepmc +1 more source
A new generalization of some integral inequalities for (α,m)-convex functions [PDF]
In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are ({\alpha},m)-convex.
arxiv
Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]
Yang ZH, Tian JF.
europepmc +1 more source
New estimates on generalization of some integral inequalities for (alpha,m)-convex functions [PDF]
In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are ({\alpha},m)-convex.
arxiv
Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences. [PDF]
Horváth L.
europepmc +1 more source
Extension of Fejér's inequality to the class of sub-biharmonic functions
Fejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss.
Jleli Mohamed
doaj +1 more source