Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
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On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications [PDF]
Mathematics, 2019 In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite−Hadamard (HH) integral inequality.
Dongming Nie +4 more
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Exponentially Convex Functions on Hypercomplex Systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 A hypercomplex system (h.c.s.) L1(Q,m) is, roughly speaking, a space which is defined by a structure measure (c(A,B,r), (A,B∈ℬ(Q))), such space has been studied by Berezanskii and Krein.
Buthinah A. Bin Dehaish
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Fractional Exponentially m-Convex Functions and Inequalities
International Journal of Analysis and Applications, 2019 In this article, we introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are
Saima Rashid +2 more
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Hermite-Hadamard Type Inequalities via Exponentially (p, h)-Convex Functions
IEEE Access, 2020 Here we introduce new class of exponentially convex function namely exponentially $(p,h)$ -convex function. We find the Hermite-Hadamard type inequalities via exponentially $(p,h)$ -convex functions. We extend the various familar results.
N. Mehreen, M. Anwar
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Derivation of Bounds of an Integral Operator via Exponentially Convex Functions [PDF]
Journal of Mathematics, 2020 In this paper, bounds of fractional and conformable integral operators are established in a compact form. By using exponentially convex functions, certain bounds of these operators are derived and further used to prove their boundedness and continuity. A
Hong Ye +3 more
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Inequalities Pertaining Fractional Approach through Exponentially Convex Functions
Fractal and Fractional, 2019 In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid +2 more
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Mathematics, 2019 In the present paper, we investigate some Hermite-Hadamard ( HH ) inequalities related to generalized Riemann-Liouville fractional integral ( GRLFI ) via exponentially convex functions. We also show the fundamental identity for GRLFI
Saima Rashid +3 more
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Stationary covariances associated with exponentially convex functions
Bernoulli, 2003 The authors establish a bijective mapping between exponentially convex functions and positively definite functions, and extend Loève's construction of stochastic processes associated with them. As an application, they derive parametric covariance model for locally stationary random fields.
Marc G Genton, Tilmann Gneiting
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New Estimates for Exponentially Convex Functions via Conformable Fractional Operator
Fractal and Fractional, 2019 In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity.
Saima Rashid +2 more
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