Results 51 to 60 of about 11,287,559 (375)
AIMS Mathematics, 2020 The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels.
Ghulam Farid +4 more
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Non-existence of certain type of convex functions on a Riemannian manifold with a pole
, 2018 This paper is devoted to the study of non-existence of certain type of convex functions on a Riemannian manifold with a pole. To this end, we have developed the notion of odd and even function on a Riemannian manifold with a pole and proved the non ...
Ahmad, Izhar +2 more
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Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic singular control [PDF]
, 2011 We study the partial differential equation max{Lu - f, H(Du)}=0 where u is the unknown function, L is a second-order elliptic operator, f is a given smooth function and H is a convex function.
Hynd, Ryan
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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New Generalization of Geodesic Convex Function
Axioms, 2023 As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established.
Ohud Bulayhan Almutairi, Wedad Saleh
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Image Fusion via Sparse Regularization with Non-Convex Penalties
, 2020 The L1 norm regularized least squares method is often used for finding sparse approximate solutions and is widely used in 1-D signal restoration. Basis pursuit denoising (BPD) performs noise reduction in this way.
Achim, Alin +3 more
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Ostrowski type inequalities via some exponentially convex functions with applications
AIMS Mathematics, 2020 In this paper, we obtain ostrowski type inequalities for exponentially convex function and exponentially s-convex function in second sense. Applications to some special means are also obtain. Here we extend the results of some previous investigations.
Naila Mehreen, Matloob Anwar
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, 2003 Let \(t \in ]0,1[\). A real-valued function \(f\) defined on an interval \(I \subseteq \mathbb{R}\) is called \(t\)-convex if \(f(tx+(1-t)y) \leq tf(x)+(1-t)f(y)\) for all \(x,y \in I\). The authors show that such functions are characterized by the nonnegativity of their (suitably defined) lower second-order generalized derivatives.
Nikodem, Kazimierz, Páles, Zsolt
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On Bazilevič and convex functions [PDF]
Transactions of the American Mathematical Society, 1969 (2) zf'(z) = f(z)'g(z)lh(z) and (3) Reh(z) = Re(zf'(z)/f(z)'1-,g(z)") > 0 in IzI < 1. Thomas [12] called a function satisfying the condition (3) a Bazilevic function of type /. Let C(r) denote the curve which is the image of the circle Izi =r < 1 under the mapping w =f(z), and let L(r) denote the length of C(r). Let M(r) = maxj2j = r I f(z) 1.
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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 \
Hyers, D. H., Ulam, S. M.
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