Results 11 to 20 of about 452,175 (269)
An integral inequality for n-convex functions [PDF]
Mathematical Inequalities & Applications, 2012 We extend Lupas inequality for n -convex (n -concave) functions. As consequences some inequalities are derived. Mathematics subject classification (2010): 26D15, 26D10, 33C45.
Hacéne Belbachir, Mourad Rahmani
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New fractional approaches for n-polynomial P-convexity with applications in special function theory
Advances in Difference Equations, 2020 Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues ...
Shu-Bo Chen +4 more
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Linear operators inequality for $n$-convex functions at a point [PDF]
Mathematical Inequalities & Applications, 2015 We study necessary and sufficient conditions on inear operators A and B for inequality Af
Pečarić, Josip +2 more
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Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]
, 2015 In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman +36 more
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Inequalities for n-convex functions [PDF]
Journal of Mathematical Inequalities, 2011 In this article new inequalities for n-convex functions are stated and proved and some applications of these results are given.
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Advances in Difference Equations, 2020 In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt +5 more
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq +2 more
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, 1999 In our previous paper on this topic, we introduced the notion of k-Hessian measure associated with a continuous k-convex function in a domain \Om in Euclidean n-space, k=1,...,n, and proved a weak continuity result with respect to local uniform ...
Trudinger, Neil S., Wang, Xu-Jia
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Derivates, Approximate Derivates and Porosity Derivates of n-Convex Functions [PDF]
Real Analysis Exchange, 2001 It is shown that if $f$ is $n$-convex then the four $n$th order Peano derivates of $f$ are respectively equal to the corresponding $n$th order approximate Peano derivates and the porosity Peano derivates of $f$. It is further shown that the same result holds for the de la Vall\'ee Poussin derivates, and the symmetric and unsymmetric Riemann derivates.
null Mitra, null Mukhopadhyay
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Journal of Function Spaces, 2021 In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt +3 more
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