Results 21 to 30 of about 747,663 (280)
Exponential type convexity and some related inequalities
Journal of Inequalities and Applications, 2020 In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some
Mahir Kadakal, İmdat İşcan
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Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications
Journal of Function Spaces, 2021 In this work, we introduce the idea and concept of m–polynomial p–harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt +4 more
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EXPONENTIAL CONVEXITY OF THE FAVARD'S INEQUALITY AND RELATED RESULTS
Contributions, Section of Natural, Mathematical and Biotechnical Sciences, 2017 A b s t r a c t: In this paper we prove positive semi-definiteness of matrices generated by differences deduced from unweighted and weighted Favard's inequality. This implies a surprising property of exponential convexity of this differences which allows us to deduce Gram's, Lyapunov's and Dresher's types of inequalities for this differences.
Latif, Naveed +2 more
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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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AIMS Mathematics, 2022 <abstract><p>By applying exponential type $ m $-convexity, the Hölder inequality and the power mean inequality, this paper is devoted to conclude explicit bounds for the fractional integrals with exponential kernels inequalities, such as right-side Hadamard type, midpoint type, trapezoid type and Dragomir-Agarwal type inequalities.
Hao Wang +3 more
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Exponential convexity of Petrović and related functional [PDF]
Journal of Inequalities and Applications, 2011 We consider functionals due to the difference in Petrović and related inequalities and prove the log-convexity and exponential convexity of these functionals by using different families of functions. We construct positive semi-definite matrices generated by these functionals and give some related results. At the end, we give some examples.
Saad Ihsan Butt +2 more
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n-exponential convexity of weighted Hermite-Hadamard's inequality [PDF]
Journal of Mathematical Inequalities, 2014 In this paper we construct n-exponentially convex functions and exponentially convex functions using the functional defi ned as the di fference of the weighted Hermite-Hadamard's inequality for monotone functions.
Butt, Saad Ihsan +3 more
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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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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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Heliyon, 2020 In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions.
Saad Ihsan Butt +2 more
exaly +3 more sources