Results 11 to 20 of about 120 (105)
Demonstratio Mathematica, 2022 It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal +4 more
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A minimax problem for sums of translates on the torus
Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 1-46, December 2018., 2018 Abstract We extend some equilibrium‐type results first conjectured by Ambrus, Ball and Erdélyi, and then proved recenly by Hardin, Kendall and Saff. We work on the torus T≃[0,2π), but the motivation comes from an analogous setup on the unit interval, investigated earlier by Fenton.
Bálint Farkas +2 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
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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
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Schur-power convexity of integral mean for convex functions on the coordinates
Open Mathematics, 2023 In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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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
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On a Separation Theorem for Delta-Convex Functions
Annales Mathematicae Silesianae, 2020 In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz ...
Olbryś Andrzej
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Some new inequalities of Hermite-Hadamard type for s-convex functions with applications
Open Mathematics, 2017 In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals.
Khan Muhammad Adil +3 more
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Integral inequalities via harmonically h-convexity
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem +2 more
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Refinements of quantum Hermite-Hadamard-type inequalities
Open Mathematics, 2021 In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin +3 more
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