Results 41 to 50 of about 120 (105)

Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
doaj   +1 more source

Some new Hermite-Hadamard-type inequalities for strongly h-convex functions on co-ordinates

Open Mathematics
In this article, we study some Hermite-Hadamard-type inequalities for strongly hh-convex functions on co-ordinates in Rn{{\mathbb{R}}}^{n}, which extend some known results. Some mappings connected with these inequalities and related applications are also
Hong Weizhi, Xu Yanran, Ruan Jianmiao, Ma Xinsheng   +3 more
doaj   +1 more source

Inequalities via s−convexity and log −convexity

Topological Algebra and its Applications, 2017
In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak, Ardıç Merve Avcı, Özdemir M. Emin   +2 more
doaj   +1 more source

Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]

Heliyon, 2023
Mahmood A, Srivastava HM, Abbas M, Abdullah FA, Othman Mohammed P, Baleanu D, Chorfi N.   +6 more
europepmc   +1 more source

On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng, Meftah Badreddine, Xu Hongyan, Jarad Fahd, Lakhdari Abdelghani   +4 more
doaj   +1 more source

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

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

Demonstratio Mathematica
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
doaj   +1 more source

Logical Entropy of Information Sources. [PDF]

Entropy (Basel), 2022
Xu P, Sayyari Y, Butt SI.
europepmc   +1 more source

Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]

Rev Mat Complut, 2022
Yang ZH, Tian JF.
europepmc   +1 more source

Adaptive Integration of Convex Functions of One Real Variable

Annales Mathematicae Silesianae
We present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
doaj   +1 more source