Earthquake convexity and some new related inequalities
-
Mahir Kadakal
,
İmdat İşcan
und
Huriye Kadakal
Abstract
Unfortunately, eleven of our provinces were severely affected due to two severe earthquakes that occurred in our country, the Republic of Turkey, on February 6, 2023. As a result, thousands of buildings were destroyed and tens of thousands of our citizens lost their lives. From past to present, such disasters have occurred in many parts of our world and will continue to happen. In order to raise awareness for researchers and academicians reading our article, we will give a new definition of convexity in this article, and we will call it “earthquake convexity”. In this paper, we study some algebraic properties of the earthquake convexity. Then we compare the results obtained with both Hölder, Hölder–İşcan inequalities and power-mean, improved power-mean integral inequalities and show that the results obtained with Hölder–İşcan and improved power-mean inequalities are better than the others. Some applications to special means of real numbers are also given.
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- New analytical technique to solve fractional-order Sharma–Tasso–Olver differential equation using Caputo and Atangana–Baleanu derivative operators
- Nondensely defined partial neutral functional integrodifferential equations with infinite delay under the light of integrated resolvent operators
- On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations
- On ℐ2(𝒮θ p,r )-summability of double sequences in neutrosophic normed spaces
- Earthquake convexity and some new related inequalities
- On λ-statistically φ-convergence
- Multivalued relation-theoretic weak contractions and applications
- Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup
- Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations
- Existence and linear independence theorem for linear fractional differential equations with constant coefficients
- A study on δ‐ℐ‐compactness in a mixed fuzzy ideal topological space
- Lie symmetry, exact solutions and conservation laws of time fractional Black–Scholes equation derived by the fractional Brownian motion
- On statistical convergence of order α of sequences in gradual normed linear spaces
- Uniqueness of meromorphic functions and their powers in set sharing
- Multiplicative 𝔪-metric space, fixed point theorems with applications in multiplicative integrals equation and numerical results
- Note on bounds on the coefficients of a subclass of m-fold symmetric bi-univalent functions
- Multiple solitons, periodic solutions and other exact solutions of a generalized extended (2 + 1)-dimensional Kadomstev--Petviashvili equation
Artikel in diesem Heft
- Frontmatter
- New analytical technique to solve fractional-order Sharma–Tasso–Olver differential equation using Caputo and Atangana–Baleanu derivative operators
- Nondensely defined partial neutral functional integrodifferential equations with infinite delay under the light of integrated resolvent operators
- On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations
- On ℐ2(𝒮θ p,r )-summability of double sequences in neutrosophic normed spaces
- Earthquake convexity and some new related inequalities
- On λ-statistically φ-convergence
- Multivalued relation-theoretic weak contractions and applications
- Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup
- Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations
- Existence and linear independence theorem for linear fractional differential equations with constant coefficients
- A study on δ‐ℐ‐compactness in a mixed fuzzy ideal topological space
- Lie symmetry, exact solutions and conservation laws of time fractional Black–Scholes equation derived by the fractional Brownian motion
- On statistical convergence of order α of sequences in gradual normed linear spaces
- Uniqueness of meromorphic functions and their powers in set sharing
- Multiplicative 𝔪-metric space, fixed point theorems with applications in multiplicative integrals equation and numerical results
- Note on bounds on the coefficients of a subclass of m-fold symmetric bi-univalent functions
- Multiple solitons, periodic solutions and other exact solutions of a generalized extended (2 + 1)-dimensional Kadomstev--Petviashvili equation
