Results 1 to 10 of about 887 (159)
Strong m-Convexity of Set-Valued Functions
Annales Mathematicae Silesianae, 2023 In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also ...
Lara Teodoro +3 more
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Contributions to Mathematics, 2022 In this paper, the authors find necessary and sufficient conditions for a bivariate mean of three parameters to be the Schur m -power convex or the Schur m -power concave, by using techniques of the majorization theory. 2020 Mathematics Subject 26E60, 26A51.
Hong-Ping Yin +3 more
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Journal of Mathematical Inequalities, 2021 Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another.
M. Sababheh, S. Furuichi, H. Moradi
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On post quantum integral inequalities
Journal of Mathematical Inequalities, 2021 In the article, we provide some new post quantum refinements of the Hermite-Hadamard like inequalities involving the class of h -preinvex functions by establishing a new auxiliary result involving the post quantum differentiable function.
M. U. Awan +4 more
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Mathematical Inequalities & Applications, 2021 In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives
Feng Qi (祁锋)
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m-Convex Functions of Higher Order
Annales Mathematicae Silesianae, 2020 In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.
Lara Teodoro +2 more
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Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions
Annales Mathematicae Silesianae, 2020 Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.
Nikodem Kazimierz, Rajba Teresa
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Open Mathematics, 2022 In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p,q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities ...
You Xue-Xiao +4 more
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Jensen-type inequalities for m-convex functions
Open Mathematics, 2022 Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the main role in the study of the existence and uniqueness of initial and boundary value problems for ...
Bosch Paul +3 more
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Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
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