Results 11 to 20 of about 77,751 (215)
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
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Some Mean Values Related to the Quasi-Arithmetic Mean
Journal of Mathematical Analysis and Applications, 2000 Let \(p:\mathbb{R}^{+}\rightarrow \mathbb{R}\) be a strictly monotonic function, \(H\) denote the harmonic mean, \(r\) a real number in \([0,1],\) and \[ t_{n}(\theta)=\left( a^{2n}\cos ^{2}\theta +b^{2n}\sin ^{2}\theta \right) ^{1/n} \quad (n\neq 0). \] The authors study mean values defined by the expressions: \[ M(a,b;p,t_{n})=\frac{1}{H(a,b)}p^{-1 ...
Ume, Jeong Sheok, Kim, Young-Ho
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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
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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
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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
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Quasi-Arithmetic Means Ad Libitum
Results in Mathematics, 2023 AbstractLet $$\alpha _1, \ldots , \alpha _m$$ α 1 , … , α m be two ...
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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
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Characterization of generalized quasi-arithmetic means [PDF]
Acta Scientiarum Mathematicarum, 2015 In this paper we characterize generalized quasi-arithmetic means, that is means of the form $M(x_1,...,x_n):=(f_1+...+f_n)^{-1}(f_1(x_1)+...+f_n(x_n))$, where $f_1,...,f_n:I\to\mathbb{R}$ are strictly increasing and continuous functions. Our characterization involves the Gauss composition of the cyclic mean-type mapping induced by $M$ and a generalized
Matkowski, Janusz, Páles, Zsolt
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Archimedean-Compensatory Fuzzy Logic Systems [PDF]
International Journal of Computational Intelligence Systems, 2015 The paper aims to define a new kind of logic, referred to as Archimedean-Compensatory Logic, which is constructed from the unification of two different fuzzy logic systems, namely a continuous Archimedean fuzzy logic and a compensatory fuzzy logic.
Rafael A. Espin-Andrade +3 more
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The effectiveness of teaching image-based arithmetic problems on students' active memory performance and their processing efficiency [PDF]
مطالعات روانشناسی تربیتی, 2019 The aim of the present study was to investigate the effectiveness of teaching image-based arithmetic problems on students' active memory performance and their processing efficiency.
MEHRAN AZIZI MAHMOODABAD +2 more
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