Results 41 to 50 of about 477,899 (203)
Hermite–Hadamard–Fejér type inequalities for p-convex functions
Arab Journal of Mathematical Sciences, 2017 In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
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Convex Functions and Spacetime Geometry
, 2001 Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime $(M,g_{\mu \nu})$ or an initial data set $(\Sigma,
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Convex combinations, barycenters and convex functions [PDF]
Journal of Inequalities and Applications, 2013 The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen's inequality and convexity is studied in the integral case. The Hermite-Hadamard inequality is also obtained as a consequence of a concept of barycenters.
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Hermite-Hadamard type inequalities for p-convex functions via fractional integrals
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
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A Note on Generalized Strongly p-Convex Functions of Higher Order
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them.
Corina Karim, Ekadion Maulana
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Handling convexity-like constraints in variational problems
, 2014 We provide a general framework to construct finite dimensional approximations of the space of convex functions, which also applies to the space of c-convex functions and to the space of support functions of convex bodies.
Mérigot, Quentin, Oudet, Edouard
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Root Function and Convex Function
Communications Faculty Of Science University of Ankara, 1974 Many authors [1], [2], [3], [4] considered the problems under different weak conditions which imply the continuity of the functions. In this section, we will consider convex functions on a commutative topological group with a root function.
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Approximately convex functions [PDF]
Proceedings of the American Mathematical Society, 1952 So far we have discussed the stability of various functional equations. In the present section, we consider the stability of a well-known functional inequality, namely the inequality defining convex functions: $$f\left( {\lambda x + \left( {1 - \lambda } \right)y} \right) \leqslant \lambda f\left( x \right) + \left( {1 - \lambda } \right)f\left( y \
Stanislaw M. Ulam, Donald H. Hyers
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New inequalities of Hermite-Hadamard type for HA-convex functions
Journal of Numerical Analysis and Approximation Theory, 2018 Some new inequalities of Hermite-Hadamard type for HA-convex functions defined on positive intervals are given.
Sever Dragomir
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On the definition of a close-to-convex function
International Journal of Mathematics and Mathematical Sciences, 1978 The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
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