Results 21 to 30 of about 179 (161)
Sandwich Type Results For m-Convex Real Functions
Annales Mathematicae Silesianae, 2021 We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s ...
Lara Teodoro, Rosales Edgar
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Moroccan Journal of Pure and Applied Analysis, 2019 In this research we lay the concept of log m-convex functions defined on real intervals containing the origin, some algebraic properties are exhibit, in the same token discrete Jensen type inequalities and integral inequalities are set and shown.
Lara Teodoro, Rosales Edgar
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New properties for the Ramanujan R-function
Open Mathematics, 2022 In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu +3 more
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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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Fractional Hadamard and Fej´er-Hadamard inequalities for exponentially m-convex function
, 2021 Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fej´er-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler
MEHMOOD, Sajid, FARID, Ghulam
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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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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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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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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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