Results 21 to 30 of about 807,538 (297)
Entropy, 2021 In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally,
Humaira Kalsoom +2 more
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INVARIANCE OF THE COEFFICIENTS OF STRONGLY CONVEX FUNCTIONS
Bulletin of the Australian Mathematical Society, 2016 Let the function $f$ be analytic in $\mathbb{D}=\{z:|z|<1\}$ and given by $f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$. For $0<\unicode[STIX]{x1D6FD}\leq 1$, denote by ${\mathcal{C}}(\unicode[STIX]{x1D6FD})$ the class of strongly convex functions.
Thomas, D. K., Verma, Sarika
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Strongly Reciprocally p-Convex Functions and Some Inequalities [PDF]
Journal of Mathematics, 2020 In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-
Hao Li +3 more
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On strongly $h$-convex functions
Annals of Functional Analysis, 2011 We introduce the notion of strongly $h$-convex functions (defined on a normed space) and present some properties and representations of such functions. We obtain a characterization of inner product spaces involving the notion of strongly $h$-convex functions. Finally, a Hermite-Hadamard-type inequality for strongly $h$-convex functions
Kazimierz Nikodem
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Around Jensen’s inequality for strongly convex functions [PDF]
Aequationes mathematicae, 2017 In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen's type and Jensen-Mercer type inequalities. Applications for special means are pointed out as well. We also give a Jensen's operator inequality for strongly convex functions. As a corollary, we improve Hölder-McCarthy inequality under suitable
Moradi, Hamid Reza +3 more
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Bulletin of the Iranian Mathematical Society, 2018 In this paper, we obtain some Jensen’s and Hermite–Hadamard’s type inequalities for lower, upper, and strongly convex functions defined on convex subsets in normed linear spaces.
Kazimierz Nikodem +2 more
exaly +2 more sources
Strongly hyperbolically convex functions [PDF]
Journal of Mathematical Analysis and Applications, 2007 Let \(C(w_1,w_2,w_3)\) denote the circle in \(\widehat{\mathbb C}\) through \(w_1,w_2,w_3\), and let \(\widehat{w_1w_2}\) denote one of the two arcs between \(w_1,w_2\) belonging to \(C(w_1,w_2,w_3)\). The authors prove that a domain \(\Omega\) in the Riemann sphere with no antipodal points is spherically convex if and only if for any \(w_1,w_2,w_3\in \
Cruz, Lorena, Mejía, Diego
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Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications
Journal of Inequalities and ApplicationsStrongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality.
Slavica Ivelić Bradanović +1 more
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Some Properties of Generalized Strongly Harmonic Convex Functions [PDF]
International Journal of Analysis and Applications, 2018 In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions.
Muhammad Aslam Noor +3 more
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Generalized strongly n-polynomial convex functions and related inequalities [PDF]
Boundary Value ProblemsThis paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored.
Serap Özcan +3 more
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