Results 21 to 30 of about 40,195 (268)
Punjab University Journal of Mathematics, 2021 : In this paper, we produce a novel framework of a subclass of convex functions that is exponentially convex functions. Moreover, it is observed that the new concept helps to build new inequalities of Petrovic’s ´ type by employing exponentially convex functions.
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Jessen type functionals and exponential convexity
Journal of Mathematics and Computer Science, 2017 Summary: In this paper, we introduce the extension of Jessen functional and investigate logarithmic and exponential convexity. We also give mean value theorems of Cauchy and Lagrange type. Several families of functions are also presented related to our main results.
Naeem, Rishi, Anwar, Matloob
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Axioms, 2022 Fractional calculus manages the investigation of supposed fractional derivatives and integrations over complex areas and their applications. Fractional calculus is the purported assignment of differentiations and integrations of arbitrary non-integer ...
Bibhakar Kodamasingh +5 more
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Simpson’s type inequalities for exponentially convex functions with applications
Open Journal of Mathematical Analysis, 2021 The Simpson's inequality cannot be applied to a function that is twice differentiable but not four times differentiable or have a bounded fourth derivative in the interval under consideration. Loads of articles are bound for twice differentiable convex functions but nothing, to the best of our knowledge, is known yet for twice differentiable ...
Yenny Rangel-Oliveros, Eze R. Nwaeze
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Functional inequalities for the Bickley function [PDF]
, 2013 In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
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n-exponential convexity of some dynamic Hardy-type functionals
Journal of Mathematical Inequalities, 2014 Recently, some dynamic Hardy-type inequalities with certain kernels are studied with the help of arbitrary time scales. We use the positive linear functionals obtained from some older results to give non trivial examples of n-exponentially convex functions.
Khan, Khuram Ali +2 more
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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 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naila Mehreen, Matloob Anwar
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AIMS Mathematics, 2022 The theory of convex function has a lot of applications in the field of applied mathematics and engineering. The Caputo-Fabrizio non-singular operator is the most significant operator of fractional theory which permits to generalize the classical theory ...
Muhammad Imran Asjad +3 more
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Transference Principles for Log-Sobolev and Spectral-Gap with Applications to Conservative Spin Systems [PDF]
, 2012 We obtain new principles for transferring log-Sobolev and Spectral-Gap inequalities from a source metric-measure space to a target one, when the curvature of the target space is bounded from below.
A. Lichnerowicz +36 more
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Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions
Filomat, 2023 In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class of functions. We also established new Hermite-Hadamard type inequalities for the product and quotient of exponential type multiplicatively ...
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