Some new integral inequalities for higher-order strongly exponentially convex functions
Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of ...
Jaya Bisht +3 more
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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions
In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng +5 more
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Uncertainty Quantification for Gradient and Accelerated Gradient Descent Methods on Strongly Convex Functions [PDF]
Conor McMeel, Panos Parpas
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Coefficient Inequalities for Strongly Close-to-Convex Functions
Let \(f(z)=z+a_2 z^2+a_3 z^3+ \cdots\) be a normalized, strongly close-to-convex function of order \(\alpha\) on the unit disk. This means that there exist a normalized convex univalent function \(\varphi\) and a real number \(\beta\) such that \(|\arg {f'(z) \over e^{i\beta} \varphi'(z)} |
Ma, William, Minda, David
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In the present paper, we deal with some fractional integral inequalities for strongly reciprocally p,h-convex functions. We established fractional version of Hermite-Hadamard and Fejér type inequalities for strongly reciprocally p,h-convex functions. Our
Lei Geng +3 more
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On n-times differentiable strongly s-convex functions [PDF]
Duygu Dönmez Demir, Gülsüm Şanal
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On geodesic semi strongly E-convex functions [PDF]
In this article, a new class of function called geodesic semi strongly E-convex functions and generalized geodesic semi strongly E-convex functions are introduced. Also, some of their properties are obtained.
Kilicman, Adem, Saleh, Wedad
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Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via strongly h-convex functions [PDF]
Xing Yi, Chao un Jiang, Jianm ao Ruan
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Generalized strongly n-polynomial convex functions and related inequalities
This 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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A weighted version of Hermite-Hadamard type inequalities for strongly GA-convex functions [PDF]
Sharma et al.
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