Results 21 to 30 of about 904 (160)
Open Mathematics, 2022 In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J. +4 more
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Uniqueness of nontrivially complete monotonicity for a class of functions involving polygamma functions [PDF]
, 2010 For $m,n\in\mathbb{N}$, let $f_{m,n}(x)=\bigr[\psi^{(m)}(x)\bigl]^2+\psi^{(n)}(x)$ on $(0,\infty)$. In the present paper, we prove using two methods that, among all $f_{m,n}(x)$ for $m,n\in\mathbb{N}$, only $f_{1,2}(x)$ is nontrivially completely ...
Abramowitz M. +10 more
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Inequalities via convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 543-546, 1999., 1999 A general inequality is proved using the definition of convex functions. Many major inequalities are deduced as applications.
I. A. Abou-Tair, W. T. Sulaiman
wiley +1 more source
Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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Monotone and convex H*‐algebra valued functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995 Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley +1 more source
Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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A note on an inequality for the gamma function
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 227-233, 1978., 1977 Some inequalities for the Wallis functions are proved. The results of this paper are consequences of some characterization of convex functions. A generalization of a result of Boyd (1) and an extentlon of an inequality of Gantschi (3) are obtained.
Christopher Olutunde Imoru
wiley +1 more source
Ostrowski type fractional integral inequalities for MT-convex functions
, 2015 Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
semanticscholar +1 more source
Demonstratio Mathematica, 2023 The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq +4 more
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A mean value theorem for systems of integrals [PDF]
, 2007 More than a century ago, G. Kowalewski stated that for each n continuous functions on a compact interval [a,b], there exists an n-point quadrature rule (with respect to Lebesgue measure on [a,b]), which is exact for given functions.
Karamata +8 more
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