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On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions.
Merve Avcı Ardıç   +2 more
doaj   +1 more source

Functional Stolarsky means [PDF]

open access: yesMathematical Inequalities & Applications, 1999
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Pearce, Charles E. M.   +2 more
openaire   +4 more sources

Confidence Intervals for the Mean Function of a Compound Cyclic Poisson Process in the Presence of Power Function Trend

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
We consider the problem of estimating the mean function of a compound cyclic Poisson process in the presence of power function trend. The objectives of this paper are: (i) to construct confidence interval for the mean function of a compound cyclic ...
Faisal Muhammad   +2 more
doaj   +1 more source

Interval Kepercayaan Untuk Fungsi Nilai Harapan dan Fungsi Ragam Proses Poisson Periodik Majemuk

open access: yesJambura Journal of Mathematics, 2022
Compound cyclic Poisson process have the mean and variance functions. The objective of this paper is to construct confidence intervals for respectively the mean and variance functions of a compound cyclic Poisson process with significance level 0alpha1 ...
Auliya Fithry   +2 more
doaj   +1 more source

Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process

open access: yesFractal and Fractional, 2023
In this work, we study the possibility of using a new non-homogeneous stochastic diffusion process based on the Rayleigh density function to model the evolution of the active cases of COVID-19 in Morocco. First, the main probabilistic characteristics and
Ahmed Nafidi   +3 more
doaj   +1 more source

Mean‐periodic functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
We show that any mean‐periodic function f can be represented in terms of exponential‐polynomial solutions of the same convolution equation f satisfies, i.e., u∗f = 0(μ ∈ E′(ℝn)). This extends to n‐variables the work of L. Schwartz on mean‐periodicity and also extends L.
Carlos A. Berenstein, B. A. Taylor
openaire   +2 more sources

Several Double Inequalities for Integer Powers of the Sinc and Sinhc Functions with Applications to the Neuman–Sándor Mean and the First Seiffert Mean

open access: yesAxioms, 2022
In the paper, the authors establish a general inequality for the hyperbolic functions, extend the newly-established inequality to trigonometric functions, obtain some new inequalities involving the inverse sine and inverse hyperbolic sine functions, and ...
Wen-Hui Li, Qi-Xia Shen, Bai-Ni Guo
doaj   +1 more source

Weighted Mean Inactivity Time Function with Applications

open access: yesMathematics, 2022
We consider an extension of the mean inactivity time based on a non-negative weight function. We show various properties of the new notion, and relate it to various functions of interest in reliability theory and information measures, such as the dynamic
Antonio Di Crescenzo, Abdolsaeed Toomaj
doaj   +1 more source

Aggregation functions: Means [PDF]

open access: yesInformation Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grabisch, Michel   +3 more
openaire   +6 more sources

Sharp bounds for Gauss Lemniscate functions and Lemniscatic means

open access: yesAIMS Mathematics, 2021
For $ a, b > 0 $ with $ a\neq b $, the Gauss lemniscate mean $ \mathcal{LM}(a, b) $ is defined by $ \begin{equation*} \mathcal{LM}(a,b) = \left\{\begin{array}{lll} \frac{\sqrt{a^2-b^2}}{\left[{ {\rm{arcsl}}}\left(\sqrt[4]{1-b^2/a^2}\right)\right]^2}
Wei-Mao Qian, Miao-Kun Wang
doaj   +1 more source

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