Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters [PDF]
Journal of Inequalities and Applications, 2017 In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ and μ = μ ( p ) $\mu=\mu(p)$ on the interval [ 0 , 1 / 2 ] $[0, 1/2]$ such that the double inequality G p [ λ a + ( 1 − λ ) b , λ b + ( 1 − λ ) a ] A 1 − p ( a , b )
Wei-Mao Qian, Yu-Ming Chu
doaj +2 more sources
Jensen Functional, Quasi-Arithmetic Mean and Sharp Converses of Hölder’s Inequalities
Mathematics, 2021 In this article, we give sharp two-sided bounds for the generalized Jensen functional Jn(f,g,h;p,x). Assuming convexity/concavity of the generating function h, we give exact bounds for the generalized quasi-arithmetic mean An(h;p,x). In particular, exact
Slavko Simić, Vesna Todorčević
doaj +2 more sources
Real-time 3D cardiac tissue implementation for arrhythmia detection and management [PDF]
Frontiers in Bioengineering and BiotechnologyIntroductionThis paper presents a high-performance, real-time hardware implementation of 3D cardiac tissue for the detection and management of complex arrhythmias.MethodsUtilizing the Aliev-Panfilov reaction-diffusion model, we simulate electrical wave ...
Anwu Huang +5 more
doaj +2 more sources
Fractional Integral Inequalities for Some Convex Functions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions.
B.R. Bayraktar, A.Kh. Attaev
doaj +3 more sources
Stochastic Order and Generalized Weighted Mean Invariance
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines ...
Mateu Sbert +3 more
doaj +1 more source
Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence
Mathematics, 2022 In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities ...
Đilda Pečarić +2 more
doaj +1 more source
IEEE Access, 2021 Frequency histograms are ubiquitous, being practically used in any field of science. In this paper, we present a partial order for frequency histograms and, to our knowledge, no order of this kind has been yet defined.
Mateu Sbert +5 more
doaj +1 more source
The effectiveness of a suggested program based on the explicit systematic phonics instruction on developing word recognition skill among EFL third grade primary pupils [PDF]
المجلة التربوية لتعليم الکبار, 2021 This study aimed at investigating the effectiveness of a suggested program based on explicit systematic phonics instruction on developing word recognition skill among 31 EFL third grade primary pupils at Anwar El Haramein primary school, El ...
مروة رشاد محمود أحمد
doaj +1 more source
A Refined Jensen Inequality Connected to an Arbitrary Positive Finite Sequence
Mathematics, 2022 The prime purpose of this paper is to provide a refinement of Jensen’s inequality in connection with a positive finite sequence. We deal with the refinement for particular cases and point out the relation between the new result with earlier results of ...
Shanhe Wu +3 more
doaj +1 more source
On a New Integral Inequality: Generalizations and Applications
Axioms, 2022 In this paper, we present some generalizations and improvements of a new integral inequality from the 29th IMC in 2022. Some applications of our new results are also provided.
Huaping Huang, Wei-Shih Du
doaj +1 more source