Results 11 to 20 of about 40,195 (268)
Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals [PDF]
Abstract and Applied Analysis, 2012 We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples.
Saad Ihsan Butt +2 more
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Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications [PDF]
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
doaj +2 more sources
Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications
Universal Journal of Mathematics and Applications, 2021 In this work, we introduce the idea and concept of $p$--harmonic exponential type convex functions. We elaborate on the newly introduced idea by examples and some interesting algebraic properties.
Muhammad Tariq
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New integral inequalities using exponential type convex functions with applications
AIMS Mathematics, 2021 In this paper, we establish some new Hermite-Hadamard type inequalities for differential exponential type convex functions and discuss several special cases.
Jian Wang +3 more
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AIMS MathematicsThis paper introduced and investigated a new form of convex mapping known as $ \alpha $-exponential type convexity. We presented several algebraic properties associated with this newly introduced convexity.
Attazar Bakht , Matloob Anwar
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Novel Analysis of Hermite–Hadamard Type Integral Inequalities via Generalized Exponential Type m-Convex Functions [PDF]
Mathematics, 2021 The theory of convexity has a rich and paramount history and has been the interest of intense research for longer than a century in mathematics. It has not just fascinating and profound outcomes in different branches of engineering and mathematical ...
Muhammad Tariq +5 more
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AIMS MathematicsIntegral inequalities involving exponential convexity are significant in both theoretical and applied mathematics. In this paper, we establish a new Hermite-Hadamard type inequality for the class of exponentially convex functions by using the concept of $
Attazar Bakht , Matloob Anwar
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n-Exponential Convexity of Hardy-type and Boas-type functionals [PDF]
Journal of Mathematical Inequalities, 2013 In this paper, we discuss and prove n-exponential convexity of the linear functionals obtained by taking the positive difference of Hardy-type and Boas-type inequalities. Also, we give some examples related to our main results.
Iqbal, Sajid +3 more
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n-exponential convexity for Jensen-type inequalities [PDF]
Journal of mathematical inequalities, 2012 Starting from the results given in [J. Pečarić, I. Perić, M. Rodić Lipanović: Uniform treatment of Jensen type inequalities, to appear in Math. Rep. (Bucur.)] where the uniform treatment of the Jensen type inequalities and its converses is given, we investigate the exponential convexity of differences of the left-hand and the right-hand side of these ...
Khan, Asif R. +2 more
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An Opial-type integral inequality and exponentially convex functions [PDF]
Fractional Differential Calculus, 2015 In this paper a certain class of convex functions in an Opial-type integral inequality is considered. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the observed integral inequality. Also, a method of producing n- exponentially convex and exponentially convex functions is applied.
Andrić, Maja +3 more
openaire +4 more sources