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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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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Energies, 2021 This paper proposes an Exponentially Varying Whale Optimization Algorithm (EVWOA) to solve the single-objective non-convex Cogeneration Units problem. This problem seeks to evaluate the optimal output of the generator unit to minimize a CHP system’s fuel
Vinay Kumar Jadoun +6 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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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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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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Exponentially convex functions generated by Wulbert’s inequality and Stolarsky-type means
Mathematical and Computer Modelling, 2012 Let $-\infty
Josip E Pečarić
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