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Higher Order Strongly m-convex Functions
2021Some new concepts of the m-convex functions, where m ∈ (0, 1] are introduced and studied. Basic properties of m-convex functions are discussed. New modified Regula Falsi methods are suggested for solving nonlinear equations. Characterizations of the higher order strongly m-convex functions are investigated under suitable conditions.
Muhammad Aslam Noor, Khalida Inayat Noor
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Fejér type inequalities for (h,g;m)-convex functions
Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics, 2023Several Hermite-Hadamard and Fejér type inequalities are obtained for the recently introduced new class of (h,g;m)-convex functions. This class unifies a certain range of convexity, thus allowing the generalizations of know results.
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Properties of Exponentially m-Convex Functions
2020In this paper, we define and introduce some new concepts of the exponentially m-convex functions involving a fixed constant m ∈ (0, 1]. We investigate several properties of the exponentially m-convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities.
Muhammad Aslam Noor, Khalida Inayat Noor
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Two Theorems for (��,m)-convex functions
2012In this paper, we obtain some new inequalities for ( ,m)-convex functions. The analysis used in the proofs is fairly elementary and based on the use of Power-mean inequality.
Ozdemir, M. Emin, Ardic, Merve Avci
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On Locally m-convex Function Algebras
1974In this thesis an analogue of B-completeness is defined for locally m-convex algebras. Namely, a commutative locally m-convex algebra A is said to be a B(£) algebra if every continuous and almost open homomorphism from A onto any locally m-Convex algebra is open.
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New Hadamard-Type Inequalities for m−Convex and (a,m)−Convex Functions
2018ÖZDEMİR, MUHAMET EMİN +2 more
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